Prime p₀= 1035577423832792339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 106 2 28 2 40 2 (?)
a_n: 0 2 30 32 48 50 90 92 198 200 228 230 270 272
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: 272
Found by: Theadalus
db: batch=76, k=14, 28 16 40 106 28 40

TPT(14)	1035576626797098401	0 2 78 80 138 140 210 212 246 248 306 308 330 332	-797035693938
SPT(16)	1035576709549509251	0 20 66 78 120 138 150 158 210 218 230 248 290 302 348 368	-714283283088
STPT(10)	1035576754782829739	0 2 18 20 30 32 42 44 60 62	-669049962600
SPT(16)	1035576845354879351	0 32 42 62 80 110 132 168 212 248 270 300 318 338 348 380	-578477912988
STPT(10)	1035576975801838571	0 2 6 8 48 50 90 92 96 98	-448030953768
SPT(16)	1035577010476565927	0 42 54 66 102 116 122 182 234 294 300 314 350 362 374 416	-413356226412
SPT(13)	1035577446077499707	0 30 54 84 96 114 120 126 144 156 186 210 240	22244707368
SPT(16)	1035577473597226403	0 44 48 54 78 86 98 104 210 216 228 236 260 266 270 314	49764434064
SPT(20)	1035577892410307149	0 12 60 138 148 150 154 168 190 198 304 312 334 348 352 354 364 442 490 502	468577514810
SPT(16)	1035578754776826301	0 10 18 90 196 198 208 210 226 228 238 240 346 418 426 436	1330944033962
TPT(14)	1035578881451130587	0 2 42 44 72 74 102 104 132 134 264 266 282 284	1457618338248