Prime p₀= 2944018213673566361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 4 2 10 2 136 2 (?)
a_n: 0 2 66 68 78 80 120 122 126 128 138 140 276 278
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: 278
Found by: Landjunge
db: batch=82, k=14, 64 10 40 4 10 136

STPT(10)	2944016974165002641	0 2 6 8 48 50 90 92 96 98	-1239508563720
STPT(10)	2944017006972116321	0 2 36 38 78 80 120 122 156 158	-1206701450040
STPT(10)	2944017007021313477	0 2 90 92 102 104 114 116 204 206	-1206652252884
SPT(16)	2944017421705896661	0 6 12 46 58 76 136 198 280 342 402 420 432 466 472 478	-791967669700
SPT(16)	2944017543187163249	0 30 42 48 74 98 114 162 170 218 234 258 284 290 302 332	-670486403112
SPT(16)	2944018128851967289	0 22 28 40 64 70 78 82 180 184 192 198 222 234 240 262	-84821599072
SPT(16)	2944018749678387767	0 2 12 14 42 60 92 96 140 144 176 194 222 224 234 236	536004821406
STPT(10)	2944019136678149219	0 2 18 20 30 32 42 44 60 62	923004582858
STPT(10)	2944019143764897137	0 2 30 32 60 62 90 92 120 122	930091330776
STPT(10)	2944019581909990187	0 2 90 92 102 104 114 116 204 206	1368236423826
SPT(16)	2944019586990656677	0 10 12 42 46 54 72 112 114 154 172 180 184 214 216 226	1373317090316