Prime p₀= 1011264899967262049 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: cwierzbicki
db: batch=76, k=12, 2 16 2 22 2 4

SPT(16)	1011264652642903657	0 6 124 162 196 250 270 292 294 316 336 390 424 462 580 586	-247324358392
STPT(10)	1011264653430111131	0 2 6 8 18 20 30 32 36 38	-246537150918
STPT(10)	1011264729847762079	0 2 18 20 30 32 42 44 60 62	-170119499970
SPT(16)	1011264749534571361	0 12 36 46 78 82 88 90 118 120 126 130 162 172 196 208	-150432690688
SPT(16)	1011264796756503019	0 48 82 100 154 208 250 264 268 282 324 378 432 450 484 532	-103210759030
SPT(16)	1011264820706639179	0 24 30 42 52 72 88 94 108 114 130 150 160 172 178 202	-79260622870
SPT(16)	1011264997116804971	0 6 50 62 72 78 102 120 128 146 170 176 186 198 242 248	97149542922
STPT(10)	1011265044724577507	0 2 42 44 72 74 102 104 144 146	144757315458
SPT(16)	1011265419259673161	0 30 36 48 150 156 178 220 306 348 370 376 478 490 496 526	519292411112
SPT(16)	1011265456566619853	0 30 36 54 68 84 96 114 140 158 170 186 200 218 224 254	556599357804
TPT(14)	1011265674645852641	0 2 78 80 120 122 246 248 288 290 318 320 330 332	774678590592