Prime p₀= 3002646458969064629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 64 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 138 140 168 170 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 28 2 64

STPT(10)	3002645500261074137	0 2 30 32 42 44 54 56 84 86	-958707990492
SPT(16)	3002645547213123293	0 66 96 104 110 144 146 158 216 228 230 264 270 278 308 374	-911755941336
SPT(16)	3002645875322978959	0 34 84 120 148 210 222 250 252 280 292 354 382 418 468 502	-583646085670
SPT(16)	3002645994104445319	0 10 28 30 52 72 94 108 154 168 190 210 232 234 252 262	-464864619310
SPT(16)	3002646142565161361	0 2 12 42 78 132 176 210 218 252 296 350 386 416 426 428	-316403903268
STPT(10)	3002646143712733781	0 2 6 8 48 50 90 92 96 98	-315256330848
STPT(10)	3002646626284357277	0 2 30 32 42 44 54 56 84 86	167315292648
SPT(16)	3002646954012512029	0 4 28 40 42 60 82 84 88 90 112 130 132 144 168 172	495043447400
STPT(10)	3002647111208019089	0 2 78 80 150 152 222 224 300 302	652238954460
SPT(16)	3002647217920453787	0 6 12 14 66 80 120 134 192 206 246 260 312 314 320 326	758951389158
TPT(14)	3002647427812686761	0 2 6 8 18 20 90 92 120 122 186 188 240 242	968843622132