Prime p₀= 3212972082553050581 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 88 2 190 2 88 2 76 2 (?)
a_n: 0 2 78 80 168 170 360 362 450 452 528 530
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: 530
Found by: Groo
db: batch=83, k=12, 2 76 2 88 2 190

SPT(16)	3212968373159726681	0 62 120 140 152 168 188 246 272 330 350 366 378 398 456 518	-3709393323900
SPT(16)	3212968747311694963	0 40 64 88 114 138 196 216 238 258 316 340 366 390 414 454	-3335241355618
SPT(16)	3212969063985925753	0 18 48 64 78 84 88 90 124 126 130 136 150 166 196 214	-3018567124828
SPT(16)	3212970248544858311	0 26 38 56 80 90 108 132 146 170 188 198 222 240 252 278	-1834008192270
SPT(16)	3212971201980328211	0 12 42 68 98 126 132 146 282 296 302 330 360 386 416 428	-880572722370
SPT(16)	3212971907743090979	0 12 78 122 168 180 182 234 278 330 332 344 390 434 500 512	-174809959602
STPT(10)	3212972091437123339	0 2 18 20 30 32 42 44 60 62	8884072758
STPT(10)	3212972093588288807	0 2 12 14 42 44 72 74 84 86	11035238226
STPT(10)	3212972177519925809	0 2 18 20 30 32 42 44 60 62	94966875228
TPT(14)	3212972226425804417	0 2 42 44 54 56 150 152 240 242 252 254 390 392	143872753836
SPT(16)	3212972279767192253	0 20 26 50 54 68 174 216 218 260 366 380 384 408 414 434	197214141672