Prime p₀= 2741341177905380417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 82 2 94 2 40 2 40 2 46 2 (?)
a_n: 0 2 120 122 204 206 300 302 342 344 384 386 432 434
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: 434
Found by: [SG-FC] hl
db: batch=82, k=14, 118 82 94 40 40 46

SPT(16)	2741339804300125559	0 32 44 60 110 150 152 200 234 282 284 324 374 390 402 434	-1373605254858
STPT(10)	2741340426284530151	0 2 6 8 48 50 90 92 96 98	-751620850266
STPT(10)	2741340629228997581	0 2 30 32 60 62 90 92 120 122	-548676382836
SPT(16)	2741340979342674011	0 6 8 72 86 92 116 120 128 132 156 162 176 240 242 248	-198562706406
SPT(16)	2741341010693262619	0 12 28 42 78 90 120 160 180 220 250 262 298 312 328 340	-167212117798
SPT(16)	2741341151863700443	0 24 30 88 100 148 276 298 336 358 486 534 546 604 610 634	-26041679974
STPT(10)	2741341565691893777	0 2 30 32 42 44 54 56 84 86	387786513360
SPT(16)	2741341648940860169	0 8 32 74 92 140 152 164 198 210 222 270 288 330 354 362	471035479752
SPT(16)	2741341783389121433	0 30 44 66 68 138 140 156 188 204 206 276 278 300 314 344	605483741016
SPT(16)	2741341898207525467	0 40 64 114 136 156 180 214 246 280 304 324 346 396 420 460	720302145050
SPT(16)	2741341985286103523	0 36 44 74 86 104 146 174 296 324 366 384 396 426 434 470	807380723106