Prime p₀= 1134227530597081859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 40 2 4 2 40 2 148 2 (?)
a_n: 0 2 42 44 120 122 162 164 168 170 210 212 360 362
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: 362
Found by: stoneageman
db: batch=76, k=14, 40 76 40 4 40 148

SPT(16)	1134226648394193511	0 10 42 48 78 108 120 132 178 190 202 232 262 268 300 310	-882202888348
SPT(16)	1134226755629805001	0 36 40 42 52 118 156 168 190 202 240 306 316 318 322 358	-774967276858
STPT(10)	1134226917693065921	0 2 6 8 48 50 90 92 96 98	-612904015938
SPT(16)	1134227054994801773	0 24 80 98 110 140 194 228 230 264 318 348 360 378 434 458	-475602280086
TPT(16)	1134227212638705881	0 2 36 38 78 80 120 122 258 260 276 278 300 302 306 308	-317958375978
STPT(10)	1134227247289208417	0 2 42 44 72 74 102 104 144 146	-283307873442
SPT(16)	1134227834394578537	0 14 54 80 104 120 132 150 206 224 236 252 276 302 342 356	303797496678
SPT(16)	1134228013833010687	0 10 22 24 40 70 76 126 160 210 216 246 262 264 276 286	483235928828
SPT(16)	1134228144660117349	0 22 30 84 108 120 150 222 250 322 352 364 388 442 450 472	614063035490
SPT(16)	1134228412460521171	0 6 28 58 76 118 138 160 258 280 300 342 360 390 412 418	881863439312
STPT(10)	1134228615636516017	0 2 60 62 102 104 144 146 204 206	1085039434158