Prime p₀= 2730973729465841927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 28 2 76 2 16 2 22 2 (?)
a_n: 0 2 84 86 114 116 144 146 222 224 240 242 264 266
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: 266
Found by: herby44
db: batch=82, k=14, 82 28 28 76 16 22

TPT(14)	2730972229853795801	0 2 66 68 168 170 210 212 228 230 360 362 408 410	-1499612046126
STPT(10)	2730972424889138189	0 2 42 44 90 92 138 140 180 182	-1304576703738
STPT(10)	2730972620284846841	0 2 36 38 78 80 120 122 156 158	-1109180995086
SPT(16)	2730972872319259831	0 42 58 102 112 142 160 172 186 198 216 246 256 300 316 358	-857146582096
SPT(16)	2730973035771964901	0 26 86 98 102 128 140 150 158 168 180 206 210 222 282 308	-693693877026
STPT(10)	2730973283356246601	0 2 30 32 78 80 126 128 156 158	-446109595326
SPT(16)	2730973756944793027	0 12 42 72 90 94 120 132 184 196 222 226 244 274 304 316	27478951100
STPT(10)	2730973920794935547	0 2 30 32 42 44 54 56 84 86	191329093620
STPT(10)	2730974391668106671	0 2 6 8 48 50 90 92 96 98	662202264744
SPT(16)	2730974679232364639	0 32 60 84 90 92 114 120 194 200 222 224 230 254 282 314	949766522712
SPT(16)	2730975157123810543	0 36 48 60 66 108 136 144 160 168 196 238 244 256 268 304	1427657968616