Prime p₀= 2531742954518144657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 148 2 118 2 106 2 40 2 58 2 (?)
a_n: 0 2 24 26 174 176 294 296 402 404 444 446 504 506
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: 506
Found by: RFGuy_KCCO
db: batch=82, k=14, 22 148 118 106 40 58

SPT(16)	2531742438937507489	0 12 28 42 58 70 78 114 178 214 222 234 250 264 280 292	-515580637168
SPT(16)	2531742639537719261	0 12 20 78 90 132 140 162 188 210 218 260 272 330 338 350	-314980425396
SPT(16)	2531742667009348127	0 12 14 32 54 80 84 96 110 122 126 152 174 192 194 206	-287508796530
SPT(16)	2531742671344236029	0 18 50 78 110 114 138 144 218 224 248 252 284 312 344 362	-283173908628
SPT(16)	2531742716894379137	0 2 56 92 132 140 156 164 342 350 366 374 414 450 504 506	-237623765520
SPT(16)	2531742788068598593	0 4 16 30 46 48 58 76 168 186 196 198 214 228 240 244	-166449546064
SPT(16)	2531742955524017033	0 38 86 96 116 120 144 198 206 260 284 288 308 318 366 404	1005872376
SPT(16)	2531742958442074187	0 2 20 32 110 132 182 186 236 240 290 312 390 402 420 422	3923929530
SPT(16)	2531742969610279037	0 56 110 186 222 260 294 312 464 482 516 554 590 666 720 776	15092134380
SPT(18)	2531743265634850013	0 24 26 48 60 126 138 140 180 194 234 236 248 314 326 348 350 374	311116705356
STPT(10)	2531743469192887907	0 2 12 14 42 44 72 74 84 86	514674743250