Prime p₀= 741126424768799747 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Theadalus
db: batch=73, k=12, 2 10 2 16 2 22

SPT(16)	741124446532633129	0 18 28 58 82 88 130 148 162 180 222 228 252 282 292 310	-1978236166618
SPT(16)	741125435715385361	0 36 102 116 158 168 188 212 216 240 260 270 312 326 392 428	-989053414386
SPT(16)	741125682978409919	0 38 80 108 110 164 194 210 218 234 264 318 320 348 390 428	-741790389828
SPT(16)	741125845606833787	0 52 72 112 162 190 234 276 370 412 456 484 534 574 594 646	-579161965960
STPT(10)	741125851385796089	0 2 12 14 90 92 168 170 180 182	-573383003658
SPT(16)	741126295153976317	0 54 82 102 120 144 180 202 222 244 280 304 322 342 370 424	-129614823430
STPT(10)	741126602649868049	0 2 18 20 30 32 42 44 60 62	177881068302
TPT(14)	741126813820637987	0 2 12 14 30 32 42 44 54 56 114 116 150 152	389051838240
STPT(10)	741126835863007367	0 2 54 56 72 74 90 92 144 146	411094207620
SPT(16)	741127033972194479	0 2 18 30 42 102 150 224 228 302 350 410 422 434 450 452	609203394732
SPT(16)	741127131042716263	0 24 76 84 96 136 150 156 178 184 198 238 250 258 310 334	706273916516