Prime p₀= 1262368188448480361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 218
Found by: Megacruncher
db: batch=77, k=10, 2 76 2 28 2

SPT(16)	1262366580034334947	0 6 34 76 82 112 120 124 252 256 264 294 300 342 370 376	-1608414145414
STPT(10)	1262366663568502169	0 2 18 20 30 32 42 44 60 62	-1524879978192
SPT(16)	1262366806776522971	0 42 68 72 138 170 188 200 210 222 240 272 338 342 368 410	-1381671957390
SPT(16)	1262367306596850499	0 12 30 78 90 112 132 162 238 268 288 310 322 370 388 400	-881851629862
SPT(16)	1262367506981187661	0 40 52 60 82 132 150 208 432 490 508 558 580 588 600 640	-681467292700
TPT(14)	1262368127184116801	0 2 30 32 36 38 78 80 120 122 210 212 270 272	-61264363560
SPT(16)	1262368278430795187	0 2 14 42 54 92 114 116 120 122 144 182 194 222 234 236	89982314826
STPT(10)	1262368392353084579	0 2 12 14 90 92 168 170 180 182	203904604218
SPT(16)	1262368586160441421	0 6 12 60 70 132 156 180 202 226 250 312 322 370 376 382	397711961060
TPT(14)	1262368720708349129	0 2 12 14 30 32 72 74 78 80 120 122 150 152	532259868768
SPT(16)	1262369016303774017	0 30 56 62 86 90 122 156 176 210 242 246 270 276 302 332	827855293656