Prime p₀= 518724016960301987 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 10 2 58 2 (?)
a_n: 0 2 42 44 72 74 90 92 102 104 162 164
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: 164
Found by: scrap
db: batch=71, k=12, 40 28 16 10 58

TPT(12)	518723872257111947	0 2 24 26 54 56 60 62 84 86 114 116	-144703190040
SPT(14)	518723877543731731	0 28 46 70 72 88 112 156 180 196 198 222 240 268	-139416570256
SPT(16)	518723890812825889	0 118 144 162 192 220 310 328 354 372 462 490 520 538 564 682	-126147476098
SPT(14)	518723951405185349	0 42 54 110 224 252 270 272 290 318 432 488 500 542	-65555116638
SPT(14)	518723958215212033	0 6 30 34 36 40 70 84 114 118 120 124 148 154	-58745089954
SPT(14)	518723966147725321	0 48 70 76 90 126 130 168 172 208 222 228 250 298	-50812576666
SPT(14)	518724019175305771	0 18 70 112 178 262 282 436 456 540 606 648 700 718	2215003784
SPT(14)	518724027162496357	0 24 34 82 100 112 160 174 222 234 252 300 310 334	10202194370
SPT(14)	518724027959312821	0 42 100 112 136 150 156 196 202 216 240 252 310 352	10999010834
SPT(14)	518724049718915207	0 56 90 144 146 180 186 224 230 264 266 320 354 410	32758613220
SPT(14)	518724052426619203	0 6 16 66 76 106 118 156 168 198 208 258 268 274	35466317216