Prime p₀= 1022838858005626663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 42 60 20 40 18 12 2 12 18 40 20 60 42 4 (?)
a_n: 0 4 46 106 126 166 184 196 198 210 228 268 288 348 390 394
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 394
Found by: stoneageman
db: batch=76, k=16, 4 42 60 20 40 18 12 2

SPT(16)	1022837673553707797	0 14 24 30 56 90 132 140 156 164 206 240 266 272 282 296	-1184451918866
STPT(10)	1022837717313913619	0 2 18 20 30 32 42 44 60 62	-1140691713044
SPT(16)	1022837792997285989	0 20 50 72 98 122 254 308 324 378 510 534 560 582 612 632	-1065008340674
SPT(16)	1022838318357821527	0 16 24 42 64 70 94 100 126 132 156 162 184 202 210 226	-539647805136
SPT(16)	1022838601530900409	0 28 40 54 78 118 120 124 198 202 204 244 268 282 294 322	-256474726254
SPT(16)	1022838812396977027	0 40 84 124 126 184 196 216 280 300 312 370 372 412 456 496	-45608649636
SPT(16)	1022839261641759703	0 4 10 18 78 94 136 154 180 198 240 256 316 324 330 334	403636133040
SPT(16)	1022839419900489127	0 16 30 54 76 84 124 192 244 312 352 360 382 406 420 436	561894862464
STPT(12)	1022839436860193921	0 2 36 38 90 92 126 128 180 182 216 218	578854567258
SPT(16)	1022839758317896361	0 8 68 126 146 176 188 212 216 240 252 282 302 360 420 428	900312269698
SPT(16)	1022840034096935377	0 16 36 64 70 102 114 126 130 142 154 186 192 220 240 256	1176091308714