Prime p₀= 2274754569083700659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 88 2 40 2 196 2 82 2 (?)
a_n: 0 2 18 20 48 50 138 140 180 182 378 380 462 464
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: Landjunge
db: batch=81, k=14, 16 28 88 40 196 82

SPT(16)	2274753946844599291	0 18 58 100 130 156 166 196 222 252 262 288 318 360 400 418	-622239101368
STPT(10)	2274753956908403981	0 2 6 8 48 50 90 92 96 98	-612175296678
STPT(10)	2274754027305667067	0 2 30 32 42 44 54 56 84 86	-541778033592
SPT(16)	2274754350111608867	0 14 20 102 110 126 162 210 236 284 320 336 344 426 432 446	-218972091792
SPT(16)	2274754380554905279	0 10 18 88 94 112 142 172 210 240 270 288 294 364 372 382	-188528795380
SPT(16)	2274754534015374311	0 18 32 80 108 132 168 176 192 200 236 260 288 336 350 368	-35068326348
SPT(16)	2274754610912804981	0 2 32 42 72 80 86 90 98 102 108 116 146 156 186 188	41829104322
SPT(16)	2274754728662017117	0 42 52 60 66 94 126 132 214 220 252 280 286 294 304 346	159578316458
SPT(16)	2274754779420774227	0 12 62 96 104 114 132 156 230 254 272 282 290 324 374 386	210337073568
SPT(16)	2274754863655998797	0 12 24 30 90 110 140 152 192 204 234 254 314 320 332 344	294572298138
SPT(16)	2274754966882792711	0 30 52 58 66 100 136 142 186 192 228 262 270 276 298 328	397799092052