Prime p₀= 2766039139203165401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 10 2 16 2 52 2 (?)
a_n: 0 2 6 8 90 92 156 158 168 170 186 188 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 4 82 64 10 16 52

SPT(16)	2766037260138982003	0 40 48 66 84 94 144 150 154 160 210 220 238 256 264 304	-1879064183398
STPT(10)	2766037414543653317	0 2 12 14 42 44 72 74 84 86	-1724659512084
SPT(16)	2766037461055511899	0 42 54 64 72 84 90 120 244 274 280 292 300 310 322 364	-1678147653502
STPT(10)	2766037589970342827	0 2 60 62 72 74 84 86 144 146	-1549232822574
SPT(16)	2766038123504065957	0 4 16 22 30 46 60 96 130 166 180 196 204 210 222 226	-1015699099444
SPT(16)	2766039085752878711	0 42 62 116 128 138 140 158 180 198 200 210 222 276 296 338	-53450286690
SPT(16)	2766039193241588029	0 24 54 72 78 84 100 108 154 162 178 184 190 208 238 262	54038422628
TPT(14)	2766039273734670137	0 2 12 14 24 26 84 86 150 152 162 164 204 206	134531504736
STPT(10)	2766039309378292229	0 2 42 44 60 62 78 80 120 122	170175126828
STPT(10)	2766039645242091719	0 2 42 44 90 92 138 140 180 182	506038926318
SPT(16)	2766039831847098791	0 20 90 162 230 242 278 288 290 300 336 348 416 488 558 578	692643933390