Prime p₀= 872665946736756059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 136 2 22 2 88 2 34 2 (?)
a_n: 0 2 30 32 60 62 198 200 222 224 312 314 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=73, k=14, 28 28 136 22 88 34

SPT(18)	872664952561870451	0 2 42 92 96 156 168 198 230 288 320 350 362 422 426 476 516 518	-994174885608
TPT(14)	872665308940711721	0 2 66 68 108 110 138 140 240 242 246 248 288 290	-637796044338
SPT(16)	872665309523970973	0 6 40 48 70 108 126 138 148 160 178 216 238 246 280 286	-637212785086
SPT(16)	872665613907433529	0 2 18 24 60 78 98 110 252 264 284 302 338 344 360 362	-332829322530
SPT(16)	872665891590711917	0 12 26 62 86 102 110 116 180 186 194 210 234 270 284 296	-55146044142
SPT(16)	872665905369821569	0 12 24 52 58 90 112 154 198 240 262 294 300 328 340 352	-41366934490
SPT(16)	872666111671945523	0 20 98 158 168 170 176 206 210 240 246 248 258 318 396 416	164935189464
SPT(16)	872666274384138139	0 10 34 52 54 64 90 114 118 142 168 178 180 198 222 232	327647382080
STPT(10)	872667492568109267	0 2 12 14 42 44 72 74 84 86	1545831353208
SPT(16)	872667671562666367	0 12 42 64 72 120 142 174 190 222 244 292 300 322 352 364	1724825910308
STPT(10)	872667678302651027	0 2 30 32 42 44 54 56 84 86	1731565894968