Prime p₀= 404886856154675579 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 88 2 46 2 40 2 4 2 (?)
a_n: 0 2 12 14 102 104 150 152 192 194 198 200
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: Cruncher Pete
db: batch=70, k=12, 10 88 46 40 4

TPT(12)	404886811910833379	0 2 12 14 78 80 108 110 150 152 162 164	-44243842200
SPT(14)	404886841405558093	0 54 64 84 88 126 154 240 268 306 310 330 340 394	-14749117486
SPT(14)	404886845281131439	0 24 30 78 90 118 120 142 144 172 184 232 238 262	-10873544140
SPT(14)	404886845962616629	0 28 148 198 204 264 294 388 418 478 484 534 654 682	-10192058950
SPT(14)	404886852597163621	0 6 60 72 76 126 132 136 142 192 196 208 262 268	-3557511958
SPT(14)	404886854573948807	0 12 54 60 84 102 140 156 194 212 236 242 284 296	-1580726772
SPT(14)	404886861746846389	0 10 22 52 54 120 124 180 184 250 252 282 294 304	5592170810
SPT(14)	404886867138358069	0 12 54 112 132 148 160 252 264 280 300 358 400 412	10983682490
TPT(12)	404886884635775027	0 2 12 14 24 26 132 134 204 206 222 224	28481099448
SPT(14)	404886887505371599	0 12 40 60 142 160 168 172 180 198 280 300 328 340	31350696020
SPT(14)	404886905609470129	0 28 42 48 70 72 94 108 130 132 154 160 174 202	49454794550