Prime p₀= 1190704728099021167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 130 2 4 2 22 2 4 2 (?)
a_n: 0 2 42 44 132 134 264 266 270 272 294 296 300 302
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: 302
Found by: Theadalus
db: batch=77, k=14, 40 88 130 4 22 4

SPT(16)	1190702463809075389	0 40 42 54 82 84 120 124 168 172 208 210 238 250 252 292	-2264289945778
STPT(10)	1190702974366866011	0 2 6 8 18 20 30 32 36 38	-1753732155156
SPT(16)	1190703476292884251	0 10 12 40 70 88 118 148 150 180 210 228 258 286 288 298	-1251806136916
SPT(16)	1190703607688927089	0 18 28 60 64 120 130 150 172 192 202 258 262 294 304 322	-1120410094078
SPT(16)	1190703952901373671	0 36 38 50 66 90 182 192 206 216 308 332 348 360 362 398	-775197647496
STPT(10)	1190704140415005659	0 2 42 44 60 62 78 80 120 122	-587684015508
SPT(16)	1190704865513814559	0 12 84 112 132 138 168 172 210 214 244 250 270 298 370 382	137414793392
STPT(10)	1190704883663641361	0 2 36 38 78 80 120 122 156 158	155564620194
STPT(10)	1190704900788520277	0 2 30 32 42 44 54 56 84 86	172689499110
SPT(16)	1190705209290417077	0 26 54 80 96 104 140 192 374 426 462 470 486 512 540 566	481191395910
STPT(10)	1190705587673280629	0 2 18 20 30 32 42 44 60 62	859574259462