Prime p₀= 1317120906696506237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: emoga
db: batch=77, k=10, 2 58 2 10 2

TPT(14)	1317119762009047517	0 2 24 26 42 44 54 56 120 122 222 224 234 236	-1144687458720
TPT(14)	1317120455989016717	0 2 132 134 162 164 330 332 342 344 372 374 474 476	-450707489520
SPT(16)	1317120673024013183	0 68 110 138 188 198 204 254 270 320 326 336 386 414 456 524	-233672493054
STPT(10)	1317120778154956529	0 2 18 20 30 32 42 44 60 62	-128541549708
STPT(10)	1317120814666689581	0 2 6 8 48 50 90 92 96 98	-92029816656
SPT(16)	1317120832101255473	0 6 78 96 138 186 210 266 270 326 350 398 440 458 530 536	-74595250764
SPT(16)	1317121246434113381	0 32 66 92 140 150 162 182 186 206 218 228 276 302 336 368	339737607144
SPT(16)	1317121561130801551	0 10 28 42 88 90 130 160 228 258 298 300 346 360 378 388	654434295314
TPT(14)	1317121874623823381	0 2 36 38 78 80 126 128 168 170 180 182 240 242	967927317144
SPT(16)	1317121995193821979	0 22 24 42 52 60 78 144 148 214 232 240 250 268 270 292	1088497315742
SPT(16)	1317122090797405939	0 28 48 132 138 144 148 190 222 264 268 274 280 364 384 412	1184100899702