Prime p₀= 2352694140012922367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 52 2 16 2 46 2 70 2 (?)
a_n: 0 2 30 32 60 62 114 116 132 134 180 182 252 254
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: 254
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=14, 28 28 52 16 46 70

STPT(10)	2352691723408795787	0 2 12 14 72 74 132 134 144 146	-2416604126580
SPT(16)	2352691723512092213	0 6 104 140 146 150 164 180 194 210 224 228 234 270 368 374	-2416500830154
SPT(16)	2352692548084952167	0 6 12 22 30 66 100 136 180 216 250 286 294 304 310 316	-1591927970200
SPT(16)	2352692580646679893	0 6 34 40 70 88 108 138 166 196 216 234 264 270 298 304	-1559366242474
SPT(16)	2352693298315785119	0 8 38 60 102 120 128 132 158 162 170 188 230 252 282 290	-841697137248
SPT(16)	2352693352189758289	0 4 18 40 52 108 118 130 132 144 154 210 222 244 258 262	-787823164078
STPT(10)	2352694359393761837	0 2 24 26 42 44 60 62 84 86	219380839470
SPT(16)	2352694432438283903	0 26 56 60 126 134 180 186 338 344 390 398 464 468 498 524	292425361536
SPT(16)	2352694471070588569	0 4 70 88 114 138 234 238 294 298 394 418 444 462 528 532	331057666202
SPT(16)	2352694586616665281	0 18 28 30 72 96 112 130 138 156 172 196 238 240 250 268	446603742914
SPT(16)	2352694610882914297	0 4 16 72 154 172 202 226 240 264 294 312 394 450 462 466	470869991930