Prime p₀= 2860356702015711179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 70 2 28 2 10 2 16 2 (?)
a_n: 0 2 72 74 108 110 180 182 210 212 222 224 240 242
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=82, k=14, 70 34 70 28 10 16

SPT(16)	2860355359495441807	0 16 24 46 52 132 142 216 220 294 304 384 390 412 420 436	-1342520269372
STPT(10)	2860355799983310659	0 2 18 20 30 32 42 44 60 62	-902032400520
SPT(16)	2860356029501155573	0 10 16 34 78 100 120 124 150 154 174 196 240 258 264 274	-672514555606
SPT(16)	2860356271921963159	0 28 42 52 64 72 132 174 178 220 280 288 300 310 324 352	-430093748020
SPT(16)	2860356349603855889	0 12 72 90 114 140 152 194 210 252 264 290 314 332 392 404	-352411855290
STPT(10)	2860356364167917957	0 2 24 26 42 44 60 62 84 86	-337847793222
STPT(10)	2860356878909445479	0 2 48 50 90 92 132 134 180 182	176893734300
SPT(16)	2860356882526008179	0 32 42 68 72 140 152 182 198 228 240 308 312 338 348 380	180510297000
SPT(16)	2860357037370283859	0 50 62 74 174 204 260 270 272 282 338 368 468 480 492 542	335354572680
SPT(16)	2860357072757109371	0 56 68 90 108 116 168 180 446 458 510 518 536 558 570 626	370741398192
SPT(16)	2860357136133988159	0 18 54 70 88 102 148 162 190 204 250 264 282 298 334 352	434118276980