Prime p₀= 1282422370796414327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 16 2 70 2 34 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 174 176 210 212
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: mikey
db: batch=77, k=14, 40 16 22 16 70 34

SPT(16)	1282421733541780847	0 26 54 96 116 144 212 234 242 264 332 360 380 422 450 476	-637254633480
STPT(10)	1282421932799551067	0 2 30 32 42 44 54 56 84 86	-437996863260
SPT(16)	1282422076296902461	0 6 12 16 82 90 96 118 120 142 148 156 222 226 232 238	-294499511866
STPT(10)	1282422108715839587	0 2 12 14 42 44 72 74 84 86	-262080574740
TPT(14)	1282422266587111499	0 2 12 14 78 80 132 134 150 152 168 170 180 182	-104209302828
STPT(10)	1282422368248948151	0 2 36 38 78 80 120 122 156 158	-2547466176
SPT(16)	1282422400357856129	0 38 78 80 92 114 164 168 194 198 248 270 282 284 324 362	29561441802
TPT(14)	1282422463256090621	0 2 108 110 150 152 246 248 258 260 288 290 318 320	92459676294
SPT(16)	1282422753892721807	0 6 42 56 84 86 92 132 164 204 210 212 240 254 290 296	383096307480
SPT(16)	1282422873443104121	0 18 80 86 138 152 156 252 266 362 366 380 432 438 500 518	502646689794
SPT(16)	1282423240788598889	0 2 24 32 50 54 140 180 182 222 308 312 330 338 360 362	869992184562