Prime p₀= 740827278948503609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 78 80 102 104 120 122
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: 122
Found by: Theadalus
db: batch=73, k=14, 16 10 10 34 22 16

TPT(14)	740826091931994947	0 2 90 92 102 104 132 134 180 182 222 224 240 242	-1187016508662
TPT(14)	740826514385911559	0 2 48 50 60 62 72 74 132 134 168 170 258 260	-764562592050
SPT(16)	740826876726037027	0 10 70 76 84 90 106 112 114 120 136 142 150 156 216 226	-402222466582
SPT(16)	740826993202486387	0 10 16 22 60 70 106 120 136 150 186 196 234 240 246 256	-285746017222
SPT(16)	740827097412360941	0 12 26 38 50 56 92 98 120 126 162 168 180 192 206 218	-181536142668
TPT(14)	740827239658011971	0 2 36 38 78 80 126 128 150 152 306 308 330 332	-39290491638
SPT(16)	740827293835276621	0 28 42 58 102 120 130 142 168 180 190 208 252 268 282 310	14886773012
SPT(16)	740827507680728051	0 80 122 132 140 146 150 156 182 188 192 198 206 216 258 338	228732224442
STPT(10)	740827544525107841	0 2 6 8 48 50 90 92 96 98	265576604232
SPT(16)	740827844797907231	0 36 50 56 60 66 80 98 138 156 170 176 180 186 200 236	565849403622
SPT(16)	740828147524349219	0 12 20 32 48 62 80 98 114 132 150 164 180 192 200 212	868575845610