Prime p₀= 1337612734018323029 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 106 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 150 152 180 182 192 194
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: 194
Found by: Theadalus
db: batch=77, k=12, 2 10 2 28 2 106

SPT(16)	1337611491378891499	0 12 72 82 102 108 138 144 148 154 184 190 210 220 280 292	-1242639431530
STPT(10)	1337611525509185921	0 2 36 38 78 80 120 122 156 158	-1208509137108
SPT(16)	1337611772608708697	0 2 6 42 116 140 150 176 366 392 402 426 500 536 540 542	-961409614332
STPT(10)	1337612136528534941	0 2 6 8 48 50 90 92 96 98	-597489788088
SPT(16)	1337612330134665133	0 28 58 76 126 168 174 184 360 370 376 418 468 486 516 544	-403883657896
SPT(18)	1337612645049708161	0 12 36 56 66 68 78 80 110 138 168 170 180 182 192 212 236 248	-88968614868
SPT(16)	1337612898275315281	0 42 70 96 138 166 228 268 270 310 372 400 442 468 496 538	164256992252
SPT(18)	1337613063988856461	0 10 16 42 60 70 108 162 190 198 226 280 318 328 346 372 378 388	329970533432
STPT(10)	1337613115836562889	0 2 18 20 30 32 42 44 60 62	381818239860
STPT(10)	1337613356222725121	0 2 126 128 138 140 150 152 276 278	622204402092
SPT(16)	1337613435552091007	0 24 50 140 164 176 204 230 330 356 384 396 420 510 536 560	701533767978