Prime p₀= 2286670556641380977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 112 2 34 2 10 2 130 2 76 2 (?)
a_n: 0 2 60 62 174 176 210 212 222 224 354 356 432 434
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: 434
Found by: Orange Kid
db: batch=81, k=14, 58 112 34 10 130 76

SPT(16)	2286668605706912569	0 18 58 90 114 150 244 258 280 294 388 424 448 480 520 538	-1950934468408
STPT(10)	2286668643605990261	0 2 36 38 78 80 120 122 156 158	-1913035390716
STPT(10)	2286668757765972197	0 2 60 62 102 104 144 146 204 206	-1798875408780
SPT(16)	2286669010651659773	0 20 54 66 80 138 156 164 240 248 266 324 338 350 384 404	-1545989721204
TPT(14)	2286669183346119137	0 2 12 14 24 26 42 44 60 62 150 152 192 194	-1373295261840
STPT(10)	2286669685846743227	0 2 30 32 60 62 90 92 120 122	-870794637750
SPT(16)	2286670688982459589	0 10 60 78 82 138 144 150 232 238 244 300 304 322 372 382	132341078612
STPT(10)	2286670713543155999	0 2 12 14 90 92 168 170 180 182	156901775022
STPT(10)	2286670763860886021	0 2 48 50 108 110 168 170 216 218	207219505044
STPT(10)	2286670857190579961	0 2 6 8 48 50 90 92 96 98	300549198984
SPT(16)	2286670981072803463	0 4 94 180 208 250 256 276 358 378 384 426 454 540 630 634	424431422486