Prime p₀= 1540068313306966151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 46 2 40 2 58 2 (?)
a_n: 0 2 18 20 36 38 78 80 126 128 168 170 228 230
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: 230
Found by: biodoc
db: batch=78, k=14, 16 16 40 46 40 58

SPT(16)	1540066739415566489	0 30 92 102 128 152 182 194 228 240 270 294 320 330 392 422	-1573891399662
STPT(10)	1540066782440622977	0 2 60 62 102 104 144 146 204 206	-1530866343174
STPT(10)	1540067822094103031	0 2 36 38 78 80 120 122 156 158	-491212863120
SPT(16)	1540067994257528581	0 52 82 88 150 172 208 238 240 270 306 328 390 396 426 478	-319049437570
SPT(16)	1540068012959131057	0 22 54 72 90 106 112 136 180 204 210 226 244 262 294 316	-300347835094
STPT(10)	1540068182965641221	0 2 6 8 48 50 90 92 96 98	-130341324930
SPT(16)	1540068907435748177	0 20 66 120 122 134 182 192 284 294 342 354 356 410 456 476	594128782026
SPT(16)	1540069443208819559	0 14 32 38 60 78 80 212 240 372 374 392 414 420 438 452	1129901853408
SPT(16)	1540069547780511731	0 26 68 78 86 92 140 146 162 168 216 222 230 240 282 308	1234473545580
TPT(14)	1540069618649502749	0 2 12 14 72 74 90 92 132 134 222 224 228 230	1305342536598
STPT(10)	1540070019210125087	0 2 24 26 42 44 60 62 84 86	1705903158936