Prime p₀= 2504178362984019341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 76 2 10 2 46 2 10 2 (?)
a_n: 0 2 6 8 90 92 168 170 180 182 228 230 240 242
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: JayPi
db: batch=82, k=14, 4 82 76 10 46 10

STPT(10)	2504174631410332577	0 2 30 32 72 74 114 116 144 146	-3731573686764
TPT(14)	2504174707752295421	0 2 30 32 48 50 156 158 186 188 198 200 258 260	-3655231723920
SPT(16)	2504175080982510253	0 30 40 58 70 96 120 148 156 184 208 234 246 264 274 304	-3282001509088
SPT(16)	2504176658299337969	0 30 68 72 120 128 134 188 204 258 264 272 320 324 362 392	-1704684681372
SPT(16)	2504178105646239331	0 36 66 70 72 78 130 136 162 168 220 226 228 232 262 298	-257337780010
STPT(10)	2504178175580140427	0 2 30 32 42 44 54 56 84 86	-187403878914
TPT(14)	2504178807559337267	0 2 102 104 144 146 204 206 240 242 294 296 300 302	444575317926
STPT(10)	2504178886150966667	0 2 24 26 42 44 60 62 84 86	523166947326
SPT(16)	2504178914746595591	0 26 36 50 60 92 110 128 150 168 186 218 228 242 252 278	551762576250
SPT(16)	2504179916683494911	0 2 36 38 86 98 102 116 162 176 180 192 240 242 276 278	1553699475570
SPT(16)	2504180393827351541	0 8 30 38 80 98 108 150 170 212 222 240 282 290 312 320	2030843332200