Prime p₀= 1724220169448378087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 100 2 94 2 10 2 (?)
a_n: 0 2 54 56 90 92 132 134 234 236 330 332 342 344
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: 344
Found by: ladmo
db: batch=79, k=14, 52 34 40 100 94 10

SPT(16)	1724218254508584587	0 12 36 62 90 96 102 104 132 134 140 146 174 200 224 236	-1914939793500
SPT(16)	1724218540417727693	0 6 50 54 56 96 104 126 188 210 218 258 260 264 308 314	-1629030650394
STPT(10)	1724218788257632439	0 2 48 50 90 92 132 134 180 182	-1381190745648
SPT(16)	1724219680044417133	0 34 40 54 58 70 78 84 160 166 174 186 190 204 210 244	-489403960954
SPT(16)	1724219702301094721	0 8 20 30 32 56 86 90 158 162 192 216 218 228 240 248	-467147283366
STPT(10)	1724220029551662677	0 2 60 62 72 74 84 86 144 146	-139896715410
SPT(16)	1724220197499018887	0 12 24 56 114 134 140 156 260 276 282 302 360 392 404 416	28050640800
STPT(10)	1724220262416866297	0 2 30 32 72 74 114 116 144 146	92968488210
STPT(10)	1724220327957969227	0 2 12 14 42 44 72 74 84 86	158509591140
SPT(16)	1724220461387753269	0 12 72 78 90 118 142 154 168 180 204 232 244 250 310 322	291939375182
SPT(16)	1724220797709147271	0 48 52 88 112 232 262 288 310 336 366 486 510 546 550 598	628260769184