Prime p₀= 2167869858691329977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 40 2 16 2 106 2 (?)
a_n: 0 2 30 32 60 62 72 74 114 116 132 134 240 242
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: 242
Found by: [SG-FC] hl
db: batch=81, k=14, 28 28 10 40 16 106

SPT(16)	2167868196350417447	0 24 102 120 194 204 206 260 276 330 332 342 416 434 512 536	-1662340912530
SPT(16)	2167868723934124097	0 14 60 66 80 134 150 182 204 236 252 306 320 326 372 386	-1134757205880
STPT(10)	2167869332166664739	0 2 18 20 30 32 42 44 60 62	-526524665238
SPT(16)	2167869360181840331	0 66 80 92 108 120 132 150 158 176 188 200 216 228 242 308	-498509489646
TPT(14)	2167869425715520529	0 2 72 74 78 80 90 92 168 170 228 230 270 272	-432975809448
SPT(16)	2167869853872022901	0 80 102 110 138 200 222 242 258 278 300 362 390 398 420 500	-4819307076
SPT(16)	2167870085815338643	0 4 18 76 96 156 186 190 264 268 298 358 378 436 450 454	227124008666
SPT(16)	2167870560269686807	0 22 52 82 84 90 100 132 142 174 184 190 192 222 252 274	701578356830
SPT(16)	2167871006096975761	0 52 72 96 112 148 178 196 222 240 270 306 322 346 366 418	1147405645784
SPT(16)	2167871262602231171	0 6 30 38 56 122 156 168 170 182 216 282 300 308 332 338	1403910901194
STPT(10)	2167871360879853581	0 2 66 68 138 140 210 212 276 278	1502188523604