Prime p₀= 518121824089057211 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 70 2 88 2 46 2 40 2 (?)
a_n: 0 2 6 8 78 80 168 170 216 218 258 260
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: 260
Found by: nenym
db: batch=71, k=12, 4 70 88 46 40

SPT(14)	518121757049796961	0 6 46 48 88 102 120 178 196 210 250 252 292 298	-67039260250
SPT(14)	518121761593808387	0 12 14 32 72 80 116 120 156 164 204 222 224 236	-62495248824
SPT(14)	518121767708617349	0 44 62 114 180 182 194 258 270 272 338 390 408 452	-56380439862
SPT(14)	518121813565624769	0 54 72 144 174 194 200 282 288 308 338 410 428 482	-10523432442
SPT(14)	518121818333072753	0 8 140 156 158 170 186 200 216 228 230 246 378 386	-5755984458
SPT(14)	518121823523655023	0 8 50 140 164 180 194 234 248 264 288 378 420 428	-565402188
SPT(14)	518121853840435697	0 20 26 56 86 114 144 152 182 210 240 270 276 296	29751378486
TPT(12)	518121855462616157	0 2 30 32 42 44 54 56 132 134 210 212	31373558946
SPT(20)	518121870093885049	0 40 72 84 94 124 142 174 192 262 342 412 430 462 480 510 520 532 564 604	46004827838
SPT(16)	518121891650682937	0 24 30 90 112 150 172 202 312 342 364 402 424 484 490 514	67561625726
SPT(16)	518121928177166941	0 28 52 78 132 172 202 228 280 306 336 376 430 456 480 508	104088109730