Prime p₀= 2531921127525197279 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 76 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 180 182 222 224 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=12, 2 58 2 40 2 76

SPT(16)	2531919397022182933	0 28 78 106 148 204 210 226 288 304 310 366 408 436 486 514	-1730503014346
STPT(10)	2531919901850693969	0 2 18 20 30 32 42 44 60 62	-1225674503310
SPT(16)	2531919949825278499	0 34 64 78 112 114 142 154 168 180 208 210 244 258 288 322	-1177699918780
STPT(10)	2531920292806913147	0 2 42 44 72 74 102 104 144 146	-834718284132
STPT(10)	2531920653354932891	0 2 6 8 18 20 30 32 36 38	-474170264388
SPT(16)	2531921043991133957	0 12 24 86 126 144 162 164 282 284 302 320 360 422 434 446	-83534063322
SPT(18)	2531921325843675473	0 24 26 36 38 108 156 186 200 204 218 248 296 366 368 378 380 404	198318478194
STPT(12)	2531921520641092121	0 2 48 50 78 80 90 92 120 122 168 170	393115894842
SPT(16)	2531921546088648073	0 16 54 154 196 210 318 360 364 406 514 528 570 670 708 724	418563450794
STPT(10)	2531921555023849367	0 2 30 32 42 44 54 56 84 86	427498652088
STPT(10)	2531921929902529781	0 2 78 80 138 140 198 200 276 278	802377332502