Prime p₀= 2335433244129889877 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 28 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 114 116
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: 116
Found by: MarkRBright
db: batch=81, k=12, 2 28 2 10 2 28

STPT(10)	2335432007603402297	0 2 42 44 72 74 102 104 144 146	-1236526487580
SPT(16)	2335432320286792403	0 18 50 68 74 120 138 140 144 146 164 210 216 234 266 284	-923843097474
SPT(16)	2335432322432834749	0 24 34 112 124 190 274 300 322 348 432 498 510 588 598 622	-921697055128
SPT(16)	2335432329958269761	0 6 36 38 48 60 116 140 168 192 248 260 270 272 302 308	-914171620116
STPT(10)	2335432561928408729	0 2 48 50 90 92 132 134 180 182	-682201481148
SPT(16)	2335433060367797513	0 8 30 56 78 96 168 200 264 296 368 386 408 434 456 464	-183762092364
STPT(10)	2335433262384504377	0 2 30 32 42 44 54 56 84 86	18254614500
SPT(13)	2335433624599502503	0 18 30 60 66 90 108 126 150 156 186 198 216	380469612626
SPT(16)	2335433659726191439	0 34 78 100 114 160 172 174 268 270 282 328 342 364 408 442	415596301562
SPT(16)	2335433800193293333	0 6 30 76 84 100 144 174 196 226 270 286 294 340 364 370	556063403456
STPT(10)	2335433865289701101	0 2 30 32 78 80 126 128 156 158	621159811224