Prime p₀= 2319875732187246839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 16 2 10 2 136 2 16 2 (?)
a_n: 0 2 12 14 72 74 90 92 102 104 240 242 258 260
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: 260
Found by: Orange Kid
db: batch=81, k=14, 10 58 16 10 136 16

SPT(16)	2319872998052165783	0 8 30 54 90 138 168 204 230 266 296 344 380 404 426 434	-2734135081056
STPT(10)	2319873612822949019	0 2 48 50 90 92 132 134 180 182	-2119364297820
SPT(16)	2319873618368863993	0 16 46 76 88 100 126 130 174 178 204 216 228 258 288 304	-2113818382846
STPT(12)	2319874008547537859	0 2 42 44 60 62 180 182 198 200 240 242	-1723639708980
TPT(14)	2319874651659177761	0 2 30 32 108 110 126 128 150 152 156 158 168 170	-1080528069078
SPT(16)	2319875126468917097	0 6 54 72 80 122 170 174 212 216 264 306 314 332 380 386	-605718329742
SPT(16)	2319875849658568043	0 8 24 68 78 84 86 104 240 258 260 266 276 320 336 344	117471321204
STPT(10)	2319875967175445681	0 2 30 32 60 62 90 92 120 122	234988198842
SPT(16)	2319876124664593879	0 42 48 52 82 90 114 150 202 238 262 270 300 304 310 352	392477347040
STPT(10)	2319876139558316147	0 2 30 32 42 44 54 56 84 86	407371069308
STPT(10)	2319876368980991627	0 2 42 44 72 74 102 104 144 146	636793744788