Prime p₀= 1144760074498233041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Putin Has a Small Dick
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1144759267798733539	0 12 28 30 54 78 108 144 148 184 214 238 262 264 280 292	-806699499502
STPT(10)	1144759555940759789	0 2 18 20 30 32 42 44 60 62	-518557473252
TPT(14)	1144759719459897881	0 2 30 32 90 92 198 200 216 218 270 272 306 308	-355038335160
SPT(16)	1144759736864712049	0 22 60 64 82 120 202 214 240 252 334 372 390 394 432 454	-337633520992
STPT(10)	1144759755888620537	0 2 12 14 42 44 72 74 84 86	-318609612504
STPT(10)	1144759907251862897	0 2 30 32 72 74 114 116 144 146	-167246370144
SPT(16)	1144760231540654513	0 96 108 116 126 134 156 168 236 248 270 278 288 296 308 404	157042421472
SPT(16)	1144760469105188059	0 28 48 120 130 204 234 238 270 274 304 378 388 460 480 508	394606955018
SPT(16)	1144760568196304953	0 18 24 28 54 64 78 88 126 136 150 160 186 190 196 214	493698071912
SPT(16)	1144760757952176403	0 36 64 76 78 166 168 198 376 406 408 496 498 510 538 574	683453943362
SPT(16)	1144761001769327861	0 42 78 92 102 128 168 198 230 260 300 326 336 350 386 428	927271094820