Prime p₀= 4387593687785447753 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 20 34 12 32 28 48 6 30 24 2 22 2 24 30 6 48 28 32 12 34 20 (?)
a_n: 0 20 54 66 98 126 174 180 210 234 236 258 260 284 314 320 368 396 428 440 474 494
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 494
derived by truncating larger tuple
Found by: [SG]KidDoesCrunch
db: batch=85, k=22, 20 34 12 32 28 48 6 30 24 2 22

SPT(16)	4387591165104037063	0 40 70 78 96 108 130 136 180 186 208 220 238 246 276 316	-2522681410690
STPT(10)	4387591399259708639	0 2 18 20 30 32 42 44 60 62	-2288525739114
SPT(16)	4387592219176696763	0 36 56 60 80 90 116 120 146 150 176 186 206 210 230 266	-1468608750990
STPT(10)	4387592714919052487	0 2 30 32 60 62 90 92 120 122	-972866395266
STPT(10)	4387592784527402687	0 2 12 14 42 44 72 74 84 86	-903258045066
SPT(24)	4387593687785447749	0 4 24 58 70 102 130 178 184 214 238 240 262 264 288 318 324 372 400 432 444 478 498 502	-4
STPT(10)	4387593692390672297	0 2 30 32 120 122 210 212 240 242	4605224544
TPT(14)	4387593971699927939	0 2 12 14 30 32 168 170 198 200 348 350 390 392	283914480186
SPT(16)	4387594160237913869	0 24 30 32 62 110 150 210 212 272 312 360 390 392 398 422	472452466116
STPT(10)	4387595186439698417	0 2 30 32 60 62 90 92 120 122	1498654250664
TPT(14)	4387595382588657227	0 2 42 44 60 62 72 74 132 134 174 176 204 206	1694803209474
SPT(13)	4387596166941283301	0 42 48 90 120 132 150 168 180 210 252 258 300	2479155835548