Prime p₀= 2178159373895492369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 16 2 106 2 112 2 (?)
a_n: 0 2 18 20 42 44 72 74 90 92 198 200 312 314
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: 314
Found by: [SG-FC] hl
db: batch=81, k=14, 16 22 28 16 106 112

SPT(16)	2178158034003695243	0 54 78 84 86 104 146 164 180 198 240 258 260 266 290 344	-1339891797126
STPT(10)	2178158034348479999	0 2 12 14 30 32 48 50 60 62	-1339547012370
SPT(16)	2178158186725469503	0 34 48 64 114 148 168 190 198 220 240 274 324 340 354 388	-1187170022866
SPT(16)	2178158411531141657	0 24 50 56 66 72 90 102 104 116 134 140 150 156 182 206	-962364350712
SPT(16)	2178158578649830823	0 14 54 56 90 216 224 236 288 300 308 434 468 470 510 524	-795245661546
SPT(16)	2178158760824685209	0 8 32 60 90 114 120 132 140 152 158 182 212 240 264 272	-613070807160
SPT(16)	2178159425312183629	0 12 24 40 60 72 82 144 148 210 220 232 252 268 280 292	51416691260
SPT(16)	2178159563217342853	0 18 30 70 100 126 148 150 184 186 208 234 264 304 316 334	189321850484
SPT(16)	2178159588321074801	0 18 36 98 120 122 176 230 288 342 396 398 420 482 500 518	214425582432
SPT(16)	2178159688855530581	0 18 26 42 48 66 80 108 260 288 302 320 326 342 350 368	314960038212
STPT(10)	2178159771234890291	0 2 30 32 60 62 90 92 120 122	397339397922