Prime p₀= 264558519013251509 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 52 2 28 2 4 2 28 2 (?)
a_n: 0 2 48 50 102 104 132 134 138 140 168 170
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: 170
Found by: scrap
db: batch=69, k=12, 46 52 28 4 28

SPT(16)	264558395534486623	0 6 10 34 40 48 70 76 258 264 286 294 300 324 328 334	-123478764886
SPT(14)	264558403081408741	0 22 78 100 132 166 180 268 282 316 348 370 426 448	-115931842768
SPT(14)	264558412868282167	0 6 34 40 64 94 120 166 192 222 246 252 280 286	-106144969342
SPT(14)	264558413773948687	0 12 22 40 46 70 72 154 156 180 186 204 214 226	-105239302822
SPT(14)	264558424680454279	0 4 48 58 60 64 70 78 84 88 90 100 144 148	-94332797230
SPT(14)	264558448618014469	0 70 102 120 172 174 210 274 310 312 364 382 414 484	-70395237040
STPT(10)	264558519773404931	0 2 6 8 48 50 90 92 96 98	760153422
SPT(14)	264558521854340239	0 22 28 42 54 58 60 82 84 88 100 114 120 142	2841088730
SPT(14)	264558532457551987	0 64 100 102 106 130 132 154 156 180 184 186 222 286	13444300478
SPT(14)	264558539745848219	0 14 62 78 102 174 180 182 188 260 284 300 348 362	20732596710
SPT(14)	264558541964566321	0 6 16 28 30 36 72 76 112 118 120 132 142 148	22951314812