Prime p₀= 25724075534524889 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 106 2 40 2 (?)
a_n: 0 2 12 14 42 44 60 62 168 170 210 212
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, 10 28 16 106 40

SPT(14)	25724053492328671	0 36 60 90 120 130 208 210 288 298 328 358 382 418	-22042196218
SPT(16)	25724058635117317	0 40 60 70 72 94 100 102 124 126 132 154 156 166 186 226	-16899407572
SPT(14)	25724062736675341	0 22 48 52 58 120 142 168 190 252 258 262 288 310	-12797849548
SPT(14)	25724065807081099	0 24 34 78 84 90 100 132 142 148 154 198 208 232	-9727443790
SPT(14)	25724071334346521	0 36 56 78 90 110 152 156 198 218 230 252 272 308	-4200178368
SPT(14)	25724072287325521	0 6 16 22 28 46 58 90 102 120 126 132 142 148	-3247199368
TPT(12)	25724088677450507	0 2 12 14 24 26 120 122 180 182 222 224	13142925618
SPT(14)	25724090425420213	0 24 28 46 100 126 180 184 238 264 318 336 340 364	14890895324
SPT(14)	25724104027969903	0 6 84 106 108 118 124 150 156 166 168 190 268 274	28493445014
SPT(14)	25724113491151021	0 30 42 58 72 136 148 150 162 226 240 256 268 298	37956626132
TPT(12)	25724117650114307	0 2 30 32 54 56 72 74 114 116 132 134	42115589418