Prime p₀= 2610252264361713131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 76 2 46 2 40 2 10 2 (?)
a_n: 0 2 18 20 30 32 108 110 156 158 198 200 210 212
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: 212
Found by: Coleslaw
db: batch=82, k=14, 16 10 76 46 40 10

SPT(16)	2610251327453163571	0 46 52 78 88 108 172 192 196 216 280 300 310 336 342 388	-936908549560
STPT(10)	2610251569930422557	0 2 12 14 42 44 72 74 84 86	-694431290574
SPT(16)	2610252022323349087	0 22 36 54 66 90 106 120 136 150 166 190 202 220 234 256	-242038364044
SPT(16)	2610252033153482609	0 30 62 72 84 90 92 110 114 132 134 140 152 162 194 224	-231208230522
STPT(10)	2610252060027739481	0 2 6 8 48 50 90 92 96 98	-204333973650
SPT(16)	2610252221428677893	0 6 26 48 114 116 138 144 170 176 198 200 266 288 308 314	-42933035238
SPT(16)	2610252549805985003	0 14 24 56 80 90 96 126 218 248 254 264 288 320 330 344	285444271872
STPT(10)	2610252616328269709	0 2 18 20 30 32 42 44 60 62	351966556578
STPT(10)	2610252652802482739	0 2 18 20 60 62 102 104 120 122	388440769608
TPT(14)	2610252779372499047	0 2 12 14 90 92 132 134 150 152 204 206 210 212	515010785916
SPT(16)	2610252908206043531	0 30 60 62 68 72 90 92 138 140 158 162 168 170 200 230	643844330400