Prime p₀= 2943996525883787219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: gemini8
db: batch=82, k=12, 2 28 2 10 2 16

SPT(16)	2943994670293185907	0 4 16 40 52 112 156 186 250 280 324 384 396 420 432 436	-1855590601312
STPT(10)	2943994748223522941	0 2 96 98 138 140 180 182 276 278	-1777660264278
SPT(16)	2943994845656643521	0 12 56 78 116 212 240 242 246 248 276 372 410 432 476 488	-1680227143698
TPT(14)	2943995108627968061	0 2 6 8 168 170 186 188 210 212 258 260 336 338	-1417255819158
STPT(10)	2943995381532670979	0 2 42 44 90 92 138 140 180 182	-1144351116240
SPT(16)	2943995425201835783	0 18 30 38 80 116 126 150 164 188 198 234 276 284 296 314	-1100681951436
SPT(16)	2943996666571938259	0 42 64 84 90 144 154 174 190 210 220 274 280 300 322 364	140688151040
STPT(10)	2943997086033988811	0 2 30 32 78 80 126 128 156 158	560150201592
SPT(16)	2943997253717729779	0 58 78 100 114 148 160 162 190 192 204 238 252 274 294 352	727833942560
SPT(16)	2943997382979950161	0 12 72 126 160 226 228 250 258 280 282 348 382 436 496 508	857096162942
SPT(16)	2943998061113853259	0 10 18 24 42 54 60 84 88 112 118 130 148 154 162 172	1535230066040