Prime p₀= 1588315114818089297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 58 2 22 2 28 2 16 2 (?)
a_n: 0 2 12 14 120 122 180 182 204 206 234 236 252 254
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: 254
Found by: xii5ku
db: batch=78, k=14, 10 106 58 22 28 16

SPT(16)	1588313226370319531	0 38 62 68 80 108 140 146 222 228 260 288 300 306 330 368	-1888447769766
SPT(16)	1588313877037960231	0 52 60 66 108 112 126 136 162 172 186 190 232 238 246 298	-1237780129066
TPT(14)	1588314510591382787	0 2 12 14 42 44 174 176 180 182 210 212 264 266	-604226706510
TPT(14)	1588314511304319497	0 2 72 74 84 86 150 152 240 242 252 254 270 272	-603513769800
STPT(10)	1588314666669979511	0 2 6 8 48 50 90 92 96 98	-448148109786
SPT(16)	1588314982718879221	0 46 58 136 148 160 196 268 288 360 396 408 420 498 510 556	-132099210076
STPT(10)	1588315343115562889	0 2 42 44 60 62 78 80 120 122	228297473592
STPT(10)	1588315843733148239	0 2 48 50 90 92 132 134 180 182	728915058942
SPT(16)	1588315991510314901	0 18 90 108 156 158 168 170 246 248 258 260 308 326 398 416	876692225604
SPT(16)	1588316411423298049	0 42 70 72 94 114 120 142 162 184 190 210 232 234 262 304	1296605208752
STPT(10)	1588317060720354719	0 2 18 20 30 32 42 44 60 62	1945902265422