Prime p₀= 2678265677968828811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 40 2 100 2 76 2 (?)
a_n: 0 2 6 8 48 50 66 68 108 110 210 212 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 4 40 16 40 100 76

SPT(20)	2678262178216779617	0 36 42 114 152 156 182 192 206 222 224 240 254 264 290 294 332 404 410 446	-3499752049194
SPT(16)	2678263376784606581	0 26 98 120 132 218 246 258 350 362 390 476 488 510 582 608	-2301184222230
STPT(10)	2678264704589695547	0 2 30 32 42 44 54 56 84 86	-973379133264
SPT(16)	2678264831627407241	0 6 18 20 66 86 102 108 140 146 162 182 228 230 242 248	-846341421570
SPT(16)	2678264909637354017	0 44 144 156 180 200 222 264 452 494 516 536 560 572 672 716	-768331474794
SPT(16)	2678265581821689557	0 26 42 62 66 122 150 260 276 386 414 470 474 494 510 536	-96147139254
STPT(10)	2678265896362426541	0 2 78 80 108 110 138 140 216 218	218393597730
STPT(10)	2678265942340383749	0 2 48 50 90 92 132 134 180 182	264371554938
STPT(10)	2678266466151736541	0 2 96 98 198 200 300 302 396 398	788182907730
SPT(16)	2678266510360035713	0 6 44 48 68 114 128 150 254 276 290 336 356 360 398 404	832391206902
STPT(10)	2678267025318311771	0 2 36 38 78 80 120 122 156 158	1347349482960