Prime p₀= 1258108337005713161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 58 2 28 2 76 2 40 2 (?)
a_n: 0 2 36 38 78 80 138 140 168 170 246 248 288 290
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: Theadalus
db: batch=77, k=14, 34 40 58 28 76 40

SPT(16)	1258106761800424229	0 14 72 84 114 144 162 204 218 260 278 308 338 350 408 422	-1575205288932
SPT(16)	1258106801667875303	0 6 20 50 86 104 110 144 170 204 210 228 264 294 308 314	-1535337837858
STPT(10)	1258106833829261621	0 2 6 8 18 20 30 32 36 38	-1503176451540
SPT(16)	1258107493163421491	0 8 38 78 152 170 180 182 246 248 258 276 350 390 420 428	-843842291670
TPT(14)	1258107616694922647	0 2 12 14 42 44 90 92 162 164 222 224 294 296	-720310790514
STPT(10)	1258107656467948337	0 2 42 44 102 104 162 164 204 206	-680537764824
SPT(16)	1258108383031366969	0 22 60 78 84 138 148 172 180 204 214 268 274 292 330 352	46025653808
STPT(10)	1258108586172088559	0 2 18 20 30 32 42 44 60 62	249166375398
SPT(16)	1258108763100385073	0 8 54 80 98 108 138 150 164 176 206 216 234 260 306 314	426094671912
SPT(16)	1258109001289225409	0 8 48 74 80 132 162 192 200 230 260 312 318 344 384 392	664283512248
SPT(16)	1258109575068200339	0 42 60 62 104 114 122 162 170 210 218 228 270 272 290 332	1238062487178