Prime p₀= 2774679254407431641 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 124 2 22 2 124 2 28 2 (?)
a_n: 0 2 30 32 156 158 180 182 306 308 336 338
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: 338
Found by: LCB001
db: batch=82, k=12, 2 28 2 124 2 22

TPT(14)	2774677873269391049	0 2 42 44 48 50 102 104 120 122 162 164 198 200	-1381138040592
SPT(16)	2774678121825900509	0 44 60 62 162 192 218 248 294 324 350 380 480 482 498 542	-1132581531132
SPT(16)	2774678192808166199	0 32 60 78 92 132 144 162 170 188 200 240 254 272 300 332	-1061599265442
SPT(16)	2774678234517215399	0 18 38 44 50 60 102 128 204 230 272 282 288 294 314 332	-1019890216242
TPT(14)	2774678581373132699	0 2 12 14 18 20 42 44 102 104 150 152 180 182	-673034298942
TPT(14)	2774678804855020109	0 2 72 74 90 92 132 134 180 182 270 272 300 302	-449552411532
SPT(16)	2774679338272034483	0 6 68 78 108 170 218 224 330 336 384 446 476 486 548 554	83864602842
STPT(10)	2774679407193692099	0 2 12 14 90 92 168 170 180 182	152786260458
STPT(10)	2774679582502192889	0 2 18 20 30 32 42 44 60 62	328094761248
SPT(16)	2774679623532529001	0 18 32 48 80 146 158 182 216 240 252 318 350 366 380 398	369125097360
SPT(16)	2774680000001577781	0 28 42 136 138 172 192 198 220 226 246 280 282 376 390 418	745594146140