Prime p₀= 1130237278241043911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 58 2 10 2 58 2 (?)
a_n: 0 2 66 68 96 98 108 110 168 170 180 182 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 64 28 10 58 10 58

SPT(16)	1130235987239937269	0 60 68 110 128 158 194 198 224 228 264 294 312 354 362 422	-1291001106642
SPT(16)	1130236007282581093	0 88 94 130 154 168 174 180 214 220 226 240 264 300 306 394	-1270958462818
STPT(10)	1130236015749209231	0 2 36 38 78 80 120 122 156 158	-1262491834680
SPT(16)	1130236383820275337	0 6 12 40 46 60 72 126 130 184 196 210 216 244 250 256	-894420768574
STPT(12)	1130236523959492709	0 2 60 62 90 92 180 182 210 212 270 272	-754281551202
STPT(10)	1130237019142742879	0 2 18 20 30 32 42 44 60 62	-259098301032
SPT(16)	1130237291933794039	0 22 28 34 78 90 102 130 132 160 172 184 228 234 240 262	13692750128
STPT(10)	1130237384332935551	0 2 30 32 78 80 126 128 156 158	106091891640
STPT(10)	1130237511486386591	0 2 36 38 78 80 120 122 156 158	233245342680
SPT(16)	1130237532260285639	0 24 38 80 114 150 164 254 288 378 392 428 462 504 518 542	254019241728
SPT(18)	1130237838625858187	0 14 26 32 102 134 206 252 266 330 344 390 462 494 564 570 582 596	560384814276