Prime p₀= 2668554569262291299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 124 2 28 2 10 2 10 2 (?)
a_n: 0 2 72 74 102 104 228 230 258 260 270 272 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 70 28 124 28 10 10

SPT(16)	2668552937984841673	0 10 78 94 126 138 148 150 154 156 166 178 210 226 294 304	-1631277449626
TPT(14)	2668553134033861601	0 2 18 20 90 92 126 128 156 158 258 260 288 290	-1435228429698
STPT(10)	2668553170277535551	0 2 6 8 48 50 90 92 96 98	-1398984755748
SPT(16)	2668553468434885037	0 2 12 54 90 122 152 180 224 252 282 314 350 392 402 404	-1100827406262
SPT(16)	2668553513247846667	0 24 34 84 106 112 114 136 210 232 234 240 262 312 322 346	-1056014444632
TPT(14)	2668553577098570417	0 2 42 44 60 62 114 116 174 176 222 224 252 254	-992163720882
SPT(16)	2668555068185249011	0 6 16 18 58 60 70 126 160 216 226 228 268 270 280 286	498922957712
SPT(20)	2668555284221987833	0 30 36 66 70 78 84 100 126 136 168 178 204 220 226 234 238 268 274 304	714959696534
SPT(16)	2668556062532736799	0 48 54 70 112 178 180 190 252 262 264 330 372 388 394 442	1493270445500
SPT(16)	2668556438517581341	0 22 28 70 72 120 136 142 156 162 178 226 228 270 276 298	1869255290042
SPT(16)	2668556704778219909	0 78 98 108 122 132 168 170 300 302 338 348 362 372 392 470	2135515928610