Prime p₀= 2666574019713244349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 22 2 64 2 40 2 46 2 (?)
a_n: 0 2 42 44 78 80 102 104 168 170 210 212 258 260
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: RFGuy_KCCO
db: batch=82, k=14, 40 34 22 64 40 46

SPT(16)	2666572237021237297	0 16 96 130 154 180 232 240 256 264 316 342 366 400 480 496	-1782692007052
STPT(10)	2666572625957039687	0 2 24 26 42 44 60 62 84 86	-1393756204662
STPT(10)	2666573232355567889	0 2 48 50 90 92 132 134 180 182	-787357676460
SPT(16)	2666573345726007287	0 12 20 30 42 62 104 110 114 120 162 182 194 204 212 224	-673987237062
SPT(16)	2666573376826603619	0 12 102 114 140 152 174 188 264 278 300 312 338 350 440 452	-642886640730
SPT(16)	2666573529726994333	0 4 24 28 54 70 108 124 174 190 228 244 270 274 294 298	-489986250016
SPT(16)	2666574526119309391	0 42 48 102 112 148 160 222 238 300 312 348 358 412 418 460	506406065042
SPT(16)	2666575163075701489	0 52 78 100 124 154 184 204 238 258 288 318 342 364 390 442	1143362457140
SPT(16)	2666575298490860299	0 28 34 78 124 190 240 258 274 292 342 408 454 498 504 532	1278777615950
STPT(10)	2666575522183996847	0 2 54 56 72 74 90 92 144 146	1502470752498
SPT(16)	2666575874105236417	0 10 36 42 90 106 112 132 190 210 216 232 280 286 312 322	1854391992068