Prime p₀= 2317427044374155303 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 38 28 24 14 52 12 2 4 12 2 12 4 2 12 52 14 24 28 38 (?)
a_n: 0 38 66 90 104 156 168 170 174 186 188 200 204 206 218 270 284 308 336 374
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 374
Found by: Orange Kid
db: batch=81, k=20, 38 28 24 14 52 12 2 4 12 2

SPT(16)	2317425402433372379	0 2 74 78 98 110 150 170 192 212 252 264 284 288 360 362	-1641940782924
SPT(16)	2317425814853723053	0 6 18 28 90 126 138 148 228 238 250 286 348 358 370 376	-1229520432250
SPT(18)	2317426218915290939	0 14 18 114 120 140 150 158 170 282 294 302 312 332 338 434 438 452	-825458864364
STPT(12)	2317426367310507179	0 2 60 62 72 74 138 140 150 152 210 212	-677063648124
TPT(14)	2317426884702052307	0 2 60 62 72 74 84 86 132 134 162 164 240 242	-159672102996
SPT(16)	2317426945515405809	0 2 24 74 98 138 152 180 182 210 224 264 288 338 360 362	-98858749494
TPT(14)	2317427598865226591	0 2 78 80 120 122 126 128 210 212 300 302 330 332	554491071288
SPT(16)	2317427732410295359	0 12 40 72 82 84 100 142 162 204 220 222 232 264 292 304	688036140056
SPT(16)	2317428367527452239	0 4 34 84 88 100 114 118 210 214 228 240 244 294 324 328	1323153296936
SPT(16)	2317428498450743941	0 48 60 132 138 180 250 252 256 258 328 370 376 448 460 508	1454076588638
TPT(14)	2317428500675171621	0 2 48 50 90 92 108 110 138 140 210 212 288 290	1456301016318