Prime p₀= 2103614625369216299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 10 2 94 2 130 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 168 170 300 302
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: Dingo
db: batch=80, k=14, 28 10 16 10 94 130

SPT(16)	2103613429542496691	0 42 68 96 98 108 128 152 156 180 200 210 212 240 266 308	-1195826719608
STPT(10)	2103613530187740029	0 2 18 20 30 32 42 44 60 62	-1095181476270
SPT(16)	2103613577619822833	0 24 38 90 138 180 206 224 270 288 314 356 404 456 470 494	-1047749393466
SPT(16)	2103614300800246103	0 20 30 36 50 86 104 108 146 150 168 204 218 224 234 254	-324568970196
SPT(16)	2103614365649678579	0 42 54 68 90 98 102 120 122 140 144 152 174 188 200 242	-259719537720
SPT(16)	2103614438539162793	0 6 18 26 116 164 168 180 194 206 210 258 348 356 368 374	-186830053506
SPT(18)	2103615025062872197	0 30 76 84 90 106 112 130 144 172 186 204 210 226 232 240 286 316	399693655898
SPT(16)	2103615758410838977	0 4 22 40 90 100 160 172 324 336 396 406 456 474 492 496	1133041622678
STPT(10)	2103615841934859599	0 2 42 44 90 92 138 140 180 182	1216565643300
SPT(16)	2103616116292567337	0 26 30 44 54 62 66 132 164 230 234 242 252 266 270 296	1490923351038
STPT(10)	2103616362008039699	0 2 42 44 60 62 78 80 120 122	1736638823400