Prime p₀= 2217205866023358017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 28 2 10 2 76 2 52 2 (?)
a_n: 0 2 42 44 90 92 120 122 132 134 210 212 264 266
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: JayPi
db: batch=81, k=14, 40 46 28 10 76 52

SPT(16)	2217204813999881411	0 2 30 32 38 56 66 72 116 122 132 150 156 158 186 188	-1052023476606
STPT(12)	2217204998682066101	0 2 60 62 90 92 126 128 156 158 216 218	-867341291916
STPT(10)	2217205312746073289	0 2 12 14 90 92 168 170 180 182	-553277284728
SPT(16)	2217205347628708813	0 28 36 138 148 160 190 210 214 234 264 276 286 388 396 424	-518394649204
SPT(16)	2217205360016123941	0 36 48 88 148 162 178 216 232 270 286 300 360 400 412 448	-506007234076
TPT(14)	2217205636869719987	0 2 30 32 162 164 210 212 252 254 294 296 330 332	-229153638030
SPT(16)	2217205872624261899	0 32 44 90 158 182 230 240 272 282 330 354 422 468 480 512	6600903882
SPT(16)	2217206423040106397	0 44 56 72 84 104 132 146 210 224 252 272 284 300 312 356	557016748380
STPT(10)	2217206590732913831	0 2 6 8 18 20 30 32 36 38	724709555814
TPT(16)	2217207391724331401	0 2 96 98 108 110 168 170 180 182 288 290 348 350 456 458	1525700973384
SPT(16)	2217207423153650969	0 2 12 20 32 54 72 98 144 170 188 210 222 230 240 242	1557130292952