Prime p₀= 51683391827258561 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 66 68 108 110 138 140 168 170 210 212
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: ChelseaOilman
db: batch=65, k=12, 64 40 28 28 40

SPT(14)	51683344330677923	0 8 36 54 56 84 164 180 260 288 290 308 336 344	-47496580638
SPT(14)	51683349147500417	0 20 26 72 92 114 120 146 152 174 194 240 246 266	-42679758144
SPT(14)	51683353762740907	0 6 70 72 84 96 102 154 160 172 184 186 250 256	-38064517654
SPT(14)	51683357424172723	0 54 78 84 88 96 100 144 148 156 160 166 190 244	-34403085838
SPT(14)	51683382304345783	0 4 40 88 106 136 144 280 288 318 336 384 420 424	-9522912778
SPT(14)	51683388747656629	0 18 52 64 78 138 172 210 244 304 318 330 364 382	-3079601932
STPT(10)	51683391827258627	0 2 42 44 72 74 102 104 144 146	66
SPT(14)	51683401206218927	0 12 26 54 74 96 116 120 140 162 182 210 224 236	9378960366
SPT(14)	51683413704266639	0 44 54 60 72 80 110 114 144 152 164 170 180 224	21877008078
SPT(14)	51683419441607999	0 8 12 30 50 78 152 198 272 300 320 338 342 350	27614349438
TPT(12)	51683435038215599	0 2 48 50 78 80 150 152 168 170 210 212	43210957038