Prime p₀= 2513396190909459197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 22 2 124 2 10 2 40 2 (?)
a_n: 0 2 24 26 60 62 84 86 210 212 222 224 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 22 34 22 124 10 40

STPT(10)	2513394463723424891	0 2 30 32 78 80 126 128 156 158	-1727186034306
SPT(16)	2513394709057056679	0 70 78 88 108 154 162 178 204 220 228 274 294 304 312 382	-1481852402518
STPT(10)	2513395419743644991	0 2 36 38 78 80 120 122 156 158	-771165814206
SPT(16)	2513395969683811909	0 22 34 54 72 114 120 154 168 202 208 250 268 288 300 322	-221225647288
STPT(10)	2513396024899801001	0 2 36 38 78 80 120 122 156 158	-166009658196
TPT(14)	2513396182811441747	0 2 24 26 54 56 180 182 204 206 210 212 282 284	-8098017450
TPT(14)	2513396192201901707	0 2 24 26 54 56 84 86 162 164 192 194 204 206	1292442510
SPT(18)	2513396765729796481	0 6 10 12 30 52 96 138 168 190 220 262 306 328 346 348 352 358	574820337284
SPT(16)	2513396904741873107	0 12 14 72 140 150 194 210 266 282 326 336 404 462 464 476	713832413910
SPT(16)	2513397207492636359	0 14 24 48 72 74 90 108 164 182 198 200 224 248 258 272	1016583177162
SPT(16)	2513397258501262171	0 48 78 100 126 132 168 210 238 280 316 322 348 370 400 448	1067591802974