Prime p₀= 2592517471753412387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 190 2 58 2 124 2 10 2 28 2 (?)
a_n: 0 2 132 134 324 326 384 386 510 512 522 524 552 554
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: 554
Found by: JayPi
db: batch=82, k=14, 130 190 58 124 10 28

SPT(16)	2592516332481674479	0 24 40 48 52 70 84 102 160 178 192 210 214 222 238 262	-1139271737908
SPT(16)	2592516422524750789	0 12 30 42 70 78 88 90 112 114 124 132 160 172 190 202	-1049228661598
SPT(16)	2592516736623477437	0 14 36 50 72 86 92 134 222 264 270 284 306 320 342 356	-735129934950
SPT(16)	2592516875267716559	0 42 50 54 92 122 144 170 192 218 240 270 308 312 320 362	-596485695828
STPT(10)	2592517253143806689	0 2 42 44 120 122 198 200 240 242	-218609605698
SPT(16)	2592517459212169031	0 2 8 12 20 26 78 86 102 110 162 168 176 180 186 188	-12541243356
SPT(16)	2592517791636805259	0 38 50 54 62 104 120 132 170 182 198 240 248 252 264 302	319883392872
SPT(13)	2592517845619951439	0 12 24 54 60 84 102 120 144 150 180 192 204	373866539052
SPT(16)	2592518150234148271	0 76 90 100 126 148 150 186 202 238 240 262 288 298 312 388	678480735884
STPT(10)	2592518766826767809	0 2 18 20 30 32 42 44 60 62	1295073355422
STPT(10)	2592519009833624657	0 2 30 32 60 62 90 92 120 122	1538080212270