Prime p₀= 740445777154039007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 118 2 10 2 88 2 106 2 10 2 (?)
a_n: 0 2 120 122 240 242 252 254 342 344 450 452 462 464
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 464
Found by: Theadalus
db: batch=73, k=14, 118 118 10 88 106 10

SPT(13)	740445167067309461	0 30 42 72 102 132 150 168 198 228 258 270 300	-610086729546
SPT(16)	740445487102594127	0 32 50 66 86 92 240 242 330 332 480 486 506 522 540 572	-290051444880
STPT(10)	740445654466204019	0 2 12 14 90 92 168 170 180 182	-122687834988
SPT(16)	740445729556735159	0 90 100 144 154 240 244 300 322 378 382 468 478 522 532 622	-47597303848
SPT(16)	740445753872970671	0 32 38 56 66 78 80 92 126 138 140 152 162 180 186 218	-23281068336
SPT(16)	740445757356847721	0 26 62 86 110 152 156 180 188 212 216 258 282 306 342 368	-19797191286
SPT(16)	740445793547514149	0 50 60 72 102 104 132 170 174 212 240 242 272 284 294 344	16393475142
SPT(16)	740446156592091673	0 16 28 34 54 64 94 124 150 180 210 220 240 246 258 274	379438052666
SPT(16)	740446219521566539	0 4 42 88 112 148 178 202 330 354 384 420 444 490 528 532	442367527532
STPT(10)	740446272985954877	0 2 24 26 42 44 60 62 84 86	495831915870
SPT(20)	740446502336172559	0 48 82 100 114 148 154 160 180 184 228 232 252 258 264 298 312 330 364 412	725182133552