Prime p₀= 2915242539198897137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 28 2 106 2 16 2 28 2 (?)
a_n: 0 2 24 26 84 86 114 116 222 224 240 242 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 22 58 28 106 16 28

SPT(16)	2915240490581107811	0 38 42 90 108 132 170 188 192 210 248 272 290 338 342 380	-2048617789326
SPT(16)	2915240775317375977	0 40 66 76 84 142 160 174 202 216 234 292 300 310 336 376	-1763881521160
SPT(16)	2915241303741953269	0 10 28 84 94 102 118 130 132 144 160 168 178 234 252 262	-1235456943868
STPT(10)	2915241352165282079	0 2 18 20 60 62 102 104 120 122	-1187033615058
SPT(20)	2915241951996243479	0 44 54 60 74 200 278 312 320 344 438 462 470 504 582 708 722 728 738 782	-587202653658
STPT(10)	2915242538974731149	0 2 30 32 60 62 90 92 120 122	-224165988
SPT(16)	2915242805543372569	0 12 18 82 90 100 160 184 198 222 282 292 300 364 370 382	266344475432
TPT(14)	2915243142371224097	0 2 114 116 180 182 234 236 240 242 264 266 354 356	603172326960
SPT(16)	2915243318251393933	0 58 108 114 130 136 144 150 214 220 228 234 250 256 306 364	779052496796
TPT(14)	2915244063178422089	0 2 30 32 90 92 132 134 210 212 408 410 498 500	1523979524952
STPT(10)	2915244388327530827	0 2 12 14 42 44 72 74 84 86	1849128633690