Prime p₀= 2969078463161877719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 172 2 46 2 28 2 10 2 (?)
a_n: 0 2 72 74 78 80 252 254 300 302 330 332 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 70 4 172 46 28 10

SPT(16)	2969077156696279241	0 26 30 62 72 86 116 120 152 156 186 200 210 242 246 272	-1306465598478
STPT(10)	2969077211119078247	0 2 24 26 42 44 60 62 84 86	-1252042799472
SPT(16)	2969077684646422379	0 18 24 90 132 150 164 174 218 228 242 260 302 368 374 392	-778515455340
STPT(10)	2969077934497809089	0 2 48 50 90 92 132 134 180 182	-528664068630
SPT(16)	2969077964802334597	0 10 36 42 70 76 84 94 252 262 270 276 304 310 336 346	-498359543122
STPT(10)	2969078173757995457	0 2 30 32 72 74 114 116 144 146	-289403882262
SPT(16)	2969079100136022481	0 60 90 108 166 180 186 226 252 292 298 312 370 388 418 478	636974144762
STPT(10)	2969079329747995271	0 2 90 92 150 152 210 212 300 302	866586117552
STPT(10)	2969079935085125357	0 2 12 14 42 44 72 74 84 86	1471923247638
STPT(10)	2969080229612025161	0 2 6 8 48 50 90 92 96 98	1766450147442
SPT(16)	2969080803737389249	0 10 24 34 52 90 94 112 132 150 154 192 210 220 234 244	2340575511530