Prime p₀= 1014146076151213259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 82 2 64 2 10 2 (?)
a_n: 0 2 18 20 42 44 48 50 132 134 198 200 210 212
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: stoneageman
db: batch=76, k=14, 16 22 4 82 64 10

STPT(10)	1014145022409332237	0 2 12 14 72 74 132 134 144 146	-1053741881022
SPT(16)	1014145317310766341	0 42 72 106 126 148 172 186 232 246 270 292 312 346 376 418	-758840446918
SPT(16)	1014145546641290093	0 44 56 114 116 150 164 174 200 210 224 258 260 318 330 374	-529509923166
SPT(16)	1014145688802210721	0 16 22 60 126 162 168 186 232 250 256 292 358 396 402 418	-387349002538
SPT(16)	1014145703182335473	0 8 26 38 66 68 78 96 140 158 168 170 198 210 228 236	-372968877786
SPT(16)	1014146045469557863	0 16 18 48 64 66 70 120 184 234 238 240 256 286 288 304	-30681655396
SPT(16)	1014146136298904923	0 28 46 108 118 130 150 196 198 244 264 276 286 348 366 394	60147691664
SPT(16)	1014146632875165113	0 20 24 36 56 90 104 114 140 150 164 198 218 230 234 254	556723951854
STPT(10)	1014146822976204527	0 2 30 32 42 44 54 56 84 86	746824991268
STPT(10)	1014147049803469247	0 2 12 14 42 44 72 74 84 86	973652255988
SPT(16)	1014147184723156633	0 18 28 70 120 184 190 204 220 234 240 304 354 396 406 424	1108571943374