Prime p₀= 884278797018868817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 106 2 148 2 28 2 70 2 (?)
a_n: 0 2 60 62 102 104 210 212 360 362 390 392 462 464
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: 464
Found by: MarkRBright
db: batch=73, k=14, 58 40 106 148 28 70

SPT(16)	884277872772359033	0 8 26 68 104 134 138 140 174 176 180 210 246 288 306 314	-924246509784
STPT(10)	884278049436928379	0 2 48 50 60 62 72 74 120 122	-747581940438
STPT(10)	884278200368165747	0 2 60 62 72 74 84 86 144 146	-596650703070
SPT(16)	884278216496572189	0 10 22 48 84 120 162 172 210 220 262 298 334 360 372 382	-580522296628
SPT(16)	884278248631925087	0 14 80 90 110 132 134 152 204 222 224 246 266 276 342 356	-548386943730
SPT(13)	884278412431758887	0 12 30 72 102 114 162 210 222 252 294 312 324	-384587109930
SPT(16)	884278813484227939	0 88 100 114 120 138 142 144 148 150 154 172 178 192 204 292	16465359122
SPT(16)	884278896513148139	0 50 92 98 108 138 152 164 168 180 194 224 234 240 282 332	99494279322
STPT(10)	884279090895120629	0 2 18 20 60 62 102 104 120 122	293876251812
SPT(16)	884279173109343553	0 16 28 36 48 70 76 106 120 150 156 178 190 198 210 226	376090474736
SPT(16)	884279439985018309	0 72 84 100 148 162 168 190 192 214 220 234 282 298 310 382	642966149492