Prime p₀= 877880689482745679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 34 2 40 2 40 2 4 2 (?)
a_n: 0 2 90 92 132 134 168 170 210 212 252 254 258 260
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: 260
Found by: eeeeee
db: batch=73, k=14, 88 40 34 40 40 4

SPT(16)	877878688102838441	0 38 42 60 62 68 90 110 138 158 180 186 188 206 210 248	-2001379907238
SPT(16)	877879327006747697	0 62 80 92 126 144 210 230 246 266 332 350 384 396 414 476	-1362475997982
SPT(16)	877880327310896977	0 30 42 60 64 70 72 112 174 214 216 222 226 244 256 286	-362171848702
STPT(12)	877880424197907509	0 2 30 32 42 44 108 110 120 122 150 152	-265284838170
STPT(10)	877880531522850761	0 2 6 8 48 50 90 92 96 98	-157959894918
SPT(16)	877880657379665803	0 40 90 100 108 136 166 168 208 210 240 268 276 286 336 376	-32103079876
SPT(16)	877880913396115163	0 44 54 56 98 108 140 164 210 234 266 276 318 320 330 374	223913369484
STPT(10)	877881752816657579	0 2 48 50 90 92 132 134 180 182	1063333911900
STPT(10)	877881786006146237	0 2 30 32 42 44 54 56 84 86	1096523400558
STPT(10)	877881812419549097	0 2 30 32 42 44 54 56 84 86	1122936803418
SPT(16)	877881829105745719	0 40 58 78 120 142 154 204 238 288 300 322 364 384 402 442	1139623000040