Prime p₀= 3744064633159397 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 22 2 34 2 22 2 64 2 (?)
a_n: 0 2 180 182 204 206 240 242 264 266 330 332
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: 332
Found by: Agus
db: batch=61, k=12, 178 22 34 22 64

SPT(14)	3744033648233129	0 80 132 140 144 164 234 248 318 338 342 350 402 482	-30984926268
TPT(12)	3744035890361489	0 2 60 62 162 164 228 230 240 242 270 272	-28742797908
TPT(14)	3744038257752809	0 2 78 80 132 134 162 164 240 242 252 254 258 260	-26375406588
SPT(14)	3744055658918177	0 30 44 50 54 92 116 120 144 182 186 192 206 236	-8974241220
SPT(16)	3744057085812361	0 6 16 42 52 120 126 132 136 142 148 216 226 252 262 268	-7547347036
SPT(14)	3744062048153293	0 28 48 84 88 124 150 154 180 216 220 256 276 304	-2585006104
SPT(14)	3744066357048631	0 28 40 78 168 210 216 280 286 328 418 456 468 496	1723889234
SPT(16)	3744075809414077	0 40 42 60 82 112 186 216 280 310 384 414 436 454 456 496	11176254680
SPT(14)	3744088761110627	0 12 14 54 116 122 132 164 174 180 242 282 284 296	24127951230
TPT(12)	3744090503672327	0 2 12 14 42 44 54 56 72 74 144 146	25870512930
TPT(12)	3744093308605709	0 2 42 44 78 80 90 92 120 122 132 134	28675446312