Prime p₀= 1465696017620844377 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 134
Found by: Skivelitis2
db: batch=78, k=12, 2 28 2 10 2 46

SPT(16)	1465693039644101797	0 46 60 70 102 106 124 132 154 162 180 184 216 226 240 286	-2977976742580
STPT(10)	1465693319818756667	0 2 60 62 72 74 84 86 144 146	-2697802087710
STPT(10)	1465693363511197529	0 2 18 20 60 62 102 104 120 122	-2654109646848
TPT(14)	1465693604961546197	0 2 12 14 24 26 30 32 42 44 84 86 180 182	-2412659298180
STPT(10)	1465695137786039099	0 2 18 20 30 32 42 44 60 62	-879834805278
STPT(10)	1465695955671912779	0 2 42 44 90 92 138 140 180 182	-61948931598
SPT(16)	1465696368468397753	0 6 88 94 114 120 136 150 154 168 184 190 210 216 298 304	350847553376
STPT(10)	1465696440162535409	0 2 48 50 90 92 132 134 180 182	422541691032
SPT(16)	1465696552962889321	0 42 138 148 198 240 246 268 270 292 298 340 390 400 496 538	535342044944
SPT(16)	1465696567270096739	0 50 54 62 74 140 144 174 188 218 222 288 300 308 312 362	549649252362
SPT(16)	1465696739913336781	0 60 88 96 132 148 156 196 342 382 390 406 442 450 478 538	722292492404