Prime p₀= 404886884635775027 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 106 2 70 2 16 2 (?)
a_n: 0 2 12 14 24 26 132 134 204 206 222 224
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: 224
Found by: Cruncher Pete
db: batch=70, k=12, 10 10 106 70 16

SPT(14)	404886845962616629	0 28 148 198 204 264 294 388 418 478 484 534 654 682	-38673158398
SPT(14)	404886852597163621	0 6 60 72 76 126 132 136 142 192 196 208 262 268	-32038611406
SPT(14)	404886854573948807	0 12 54 60 84 102 140 156 194 212 236 242 284 296	-30061826220
TPT(12)	404886856154675579	0 2 12 14 102 104 150 152 192 194 198 200	-28481099448
SPT(14)	404886861746846389	0 10 22 52 54 120 124 180 184 250 252 282 294 304	-22888928638
SPT(14)	404886867138358069	0 12 54 112 132 148 160 252 264 280 300 358 400 412	-17497416958
SPT(14)	404886887505371599	0 12 40 60 142 160 168 172 180 198 280 300 328 340	2869596572
SPT(14)	404886905609470129	0 28 42 48 70 72 94 108 130 132 154 160 174 202	20973695102
SPT(14)	404886912925245169	0 34 42 90 100 112 172 282 342 354 364 412 420 454	28289470142
SPT(14)	404886917509253357	0 72 92 110 120 122 162 182 222 224 234 252 272 344	32873478330
SPT(14)	404886926109368609	0 18 54 90 110 132 162 200 230 252 272 308 344 362	41473593582