Prime p₀= 1424854954596541397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 106 2 40 2 46 2 22 2 (?)
a_n: 0 2 12 14 72 74 180 182 222 224 270 272 294 296
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: 296
Found by: [AF>Libristes] Elorak
db: batch=78, k=14, 10 58 106 40 46 22

STPT(10)	1424853276966138587	0 2 12 14 42 44 72 74 84 86	-1677630402810
STPT(10)	1424853791862800441	0 2 6 8 18 20 30 32 36 38	-1162733740956
STPT(10)	1424853873971737931	0 2 78 80 138 140 198 200 276 278	-1080624803466
SPT(16)	1424854392240348661	0 28 30 118 138 166 216 228 238 250 300 328 348 436 438 466	-562356192736
STPT(10)	1424854524357728279	0 2 12 14 30 32 48 50 60 62	-430238813118
STPT(10)	1424854719483282947	0 2 30 32 72 74 114 116 144 146	-235113258450
STPT(10)	1424855038230637511	0 2 36 38 78 80 120 122 156 158	83634096114
TPT(14)	1424855098819214759	0 2 72 74 90 92 102 104 168 170 180 182 210 212	144222673362
SPT(16)	1424855198730537949	0 4 88 90 102 160 168 202 300 334 342 400 412 414 498 502	244133996552
SPT(16)	1424855207406924109	0 12 82 90 112 120 150 202 222 274 304 312 334 342 412 424	252810382712
STPT(10)	1424855355131559269	0 2 78 80 120 122 162 164 240 242	400535017872