Prime p₀= 750669135439630931 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: GLeeM
db: batch=73, k=12, 2 28 2 28 2 76

SPT(16)	750668566315807127	0 2 62 72 80 92 132 146 150 164 204 216 224 234 294 296	-569123823804
STPT(10)	750668583076254497	0 2 54 56 72 74 90 92 144 146	-552363376434
SPT(16)	750668736985750697	0 50 72 86 122 126 182 206 210 234 290 294 330 344 366 416	-398453880234
SPT(16)	750668774148224383	0 64 70 78 88 90 100 118 126 144 154 156 166 174 180 244	-361291406548
STPT(10)	750668881524847841	0 2 6 8 48 50 90 92 96 98	-253914783090
STPT(10)	750669056146560149	0 2 18 20 30 32 42 44 60 62	-79293070782
STPT(10)	750669210353347697	0 2 24 26 42 44 60 62 84 86	74913716766
SPT(16)	750669388700977789	0 4 18 54 72 84 124 142 150 168 208 220 238 274 288 292	253261346858
SPT(16)	750669629074491361	0 16 46 76 102 130 132 186 196 250 252 280 306 336 366 382	493634860430
STPT(10)	750669749867267141	0 2 6 8 18 20 30 32 36 38	614427636210
TPT(14)	750669773951185769	0 2 30 32 42 44 72 74 102 104 228 230 282 284	638511554838