Prime p₀= 1019958595346398679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 178 2 40 2 16 2 40 2 106 2 (?)
a_n: 0 2 30 32 210 212 252 254 270 272 312 314 420 422
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: 422
Found by: stoneageman
db: batch=76, k=14, 28 178 40 16 40 106

SPT(16)	1019957465667350711	0 26 56 78 120 138 152 158 180 186 200 218 260 282 312 338	-1129679047968
SPT(16)	1019957767913195227	0 34 72 102 112 160 216 256 270 310 366 414 424 454 492 526	-827433203452
SPT(16)	1019957982680316271	0 12 16 28 118 126 130 132 166 168 172 180 270 282 286 298	-612666082408
SPT(16)	1019958352781032909	0 4 24 28 48 70 144 160 252 268 342 364 384 388 408 412	-242565365770
STPT(10)	1019958369569078507	0 2 12 14 42 44 72 74 84 86	-225777320172
SPT(16)	1019958549813499129	0 72 108 150 208 228 238 264 268 294 304 324 382 424 460 532	-45532899550
TPT(14)	1019958648531139781	0 2 48 50 90 92 156 158 168 170 228 230 270 272	53184741102
SPT(16)	1019958673619698727	0 14 36 54 90 102 134 146 180 192 224 236 272 290 312 326	78273300048
STPT(10)	1019958698778776849	0 2 30 32 180 182 330 332 360 362	103432378170
SPT(16)	1019958707247763001	0 8 12 20 36 50 56 96 182 222 228 242 258 266 270 278	111901364322
STPT(10)	1019958754083723227	0 2 42 44 72 74 102 104 144 146	158737324548