Prime p₀= 2913517021838809187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 16 2 136 2 52 2 16 2 (?)
a_n: 0 2 72 74 84 86 102 104 240 242 294 296 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 70 10 16 136 52 16

SPT(16)	2913515767464537889	0 12 30 40 70 82 112 114 148 150 180 192 222 232 250 262	-1254374271298
SPT(16)	2913515875100839087	0 24 52 66 112 120 132 136 210 214 226 234 280 294 322 346	-1146737970100
TPT(14)	2913516194440239149	0 2 60 62 192 194 222 224 282 284 312 314 348 350	-827398570038
SPT(16)	2913516228855995407	0 16 36 46 52 66 100 106 150 156 190 204 210 220 240 256	-792982813780
SPT(16)	2913516321770772499	0 22 52 82 112 130 150 192 250 292 312 330 360 390 420 442	-700068036688
SPT(16)	2913516992934051583	0 4 10 34 46 70 78 144 160 226 234 258 270 294 300 304	-28904757604
STPT(10)	2913517223343102317	0 2 30 32 42 44 54 56 84 86	201504293130
TPT(14)	2913517274486476421	0 2 36 38 96 98 156 158 210 212 306 308 318 320	252647667234
TPT(14)	2913517436315957477	0 2 30 32 42 44 54 56 114 116 144 146 180 182	414477148290
SPT(16)	2913517610852803609	0 54 70 84 100 160 198 210 238 250 288 348 364 378 394 448	589013994422
TPT(14)	2913517722315792047	0 2 24 26 30 32 120 122 222 224 264 266 294 296	700476982860