Prime p₀= 1831342369166720777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 100 2 16 2 46 2 (?)
a_n: 0 2 42 44 120 122 132 134 234 236 252 254 300 302
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: 302
Found by: Paul
db: batch=79, k=14, 40 76 10 100 16 46

STPT(10)	1831341016326551687	0 2 12 14 42 44 72 74 84 86	-1352840169090
SPT(16)	1831341156504789161	0 78 128 138 150 182 192 218 240 266 276 308 320 330 380 458	-1212661931616
TPT(14)	1831341526677859199	0 2 12 14 48 50 78 80 150 152 252 254 330 332	-842488861578
SPT(16)	1831341658690128251	0 2 20 50 62 72 98 102 116 120 146 156 168 198 216 218	-710476592526
SPT(16)	1831341696146159531	0 20 42 50 68 78 116 132 146 162 200 210 228 236 258 278	-673020561246
SPT(16)	1831342206745950761	0 56 120 140 206 218 240 246 290 296 318 330 396 416 480 536	-162420770016
SPT(16)	1831343008776694711	0 12 36 72 82 88 130 156 172 198 240 246 256 292 316 328	639609973934
SPT(16)	1831343023107939349	0 24 28 78 82 94 138 142 150 154 198 210 214 264 268 292	653941218572
TPT(14)	1831343028391223981	0 2 18 20 60 62 96 98 138 140 168 170 228 230	659224503204
STPT(10)	1831343060424618437	0 2 30 32 72 74 114 116 144 146	691257897660
STPT(10)	1831343178206375591	0 2 6 8 18 20 30 32 36 38	809039654814