Prime p₀= 2666248676025866681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 106 2 70 2 58 2 28 2 106 2 (?)
a_n: 0 2 138 140 246 248 318 320 378 380 408 410 516 518
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: 518
Found by: JayPi
db: batch=82, k=14, 136 106 70 58 28 106

STPT(10)	2666247214868461979	0 2 18 20 30 32 42 44 60 62	-1461157404702
SPT(18)	2666247583324162289	0 14 44 50 60 78 84 90 102 170 182 188 194 212 222 228 258 272	-1092701704392
TPT(14)	2666247663088434791	0 2 18 20 60 62 90 92 210 212 246 248 288 290	-1012937431890
SPT(16)	2666247830399249773	0 6 10 24 40 54 96 166 174 244 286 300 316 330 334 340	-845626616908
STPT(10)	2666248427056448699	0 2 12 14 90 92 168 170 180 182	-248969417982
SPT(16)	2666248642605294127	0 30 66 76 94 120 132 150 166 184 196 222 240 250 286 316	-33420572554
SPT(16)	2666248925621217271	0 12 40 48 66 82 90 102 166 178 186 202 220 228 256 268	249595350590
SPT(16)	2666249165854140127	0 4 34 42 72 76 120 154 162 196 240 244 274 282 312 316	489828273446
SPT(16)	2666249217875539063	0 4 18 78 84 144 154 160 174 180 190 250 256 316 330 334	541849672382
STPT(10)	2666249307132969587	0 2 12 14 42 44 72 74 84 86	631107102906
TPT(14)	2666249419887413201	0 2 6 8 48 50 78 80 186 188 216 218 228 230	743861546520