Prime p₀= 2666968782606011267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 40 2 34 2 28 2 52 2 (?)
a_n: 0 2 24 26 72 74 114 116 150 152 180 182 234 236
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: 236
Found by: biodoc
db: batch=82, k=14, 22 46 40 34 28 52

SPT(16)	2666966790185037661	0 12 40 46 76 90 100 102 166 168 178 192 222 228 256 268	-1992420973606
STPT(10)	2666966868126167807	0 2 30 32 72 74 114 116 144 146	-1914479843460
TPT(14)	2666967201367822667	0 2 30 32 54 56 84 86 252 254 270 272 312 314	-1581238188600
TPT(14)	2666967339887628497	0 2 24 26 54 56 102 104 144 146 150 152 192 194	-1442718382770
TPT(14)	2666968565273163257	0 2 30 32 54 56 120 122 192 194 240 242 294 296	-217332848010
SPT(16)	2666968621224351341	0 6 60 72 170 198 206 216 242 252 260 288 386 398 452 458	-161381659926
SPT(16)	2666969034046732187	0 2 26 36 42 62 80 86 216 222 240 260 266 276 300 302	251440720920
SPT(16)	2666969186546816341	0 22 60 88 106 108 120 142 156 178 190 192 210 238 276 298	403940805074
STPT(10)	2666969853845264447	0 2 30 32 42 44 54 56 84 86	1071239253180
STPT(10)	2666970318801376499	0 2 18 20 30 32 42 44 60 62	1536195365232
STPT(10)	2666970903772495289	0 2 12 14 30 32 48 50 60 62	2121166484022