Prime p₀= 1035578881451130587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 28 2 28 2 130 2 16 2 (?)
a_n: 0 2 42 44 72 74 102 104 132 134 264 266 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 40 28 28 28 130 16

SPT(16)	1035577010476565927	0 42 54 66 102 116 122 182 234 294 300 314 350 362 374 416	-1870974564660
TPT(14)	1035577423832792339	0 2 30 32 48 50 90 92 198 200 228 230 270 272	-1457618338248
SPT(13)	1035577446077499707	0 30 54 84 96 114 120 126 144 156 186 210 240	-1435373630880
SPT(16)	1035577473597226403	0 44 48 54 78 86 98 104 210 216 228 236 260 266 270 314	-1407853904184
SPT(20)	1035577892410307149	0 12 60 138 148 150 154 168 190 198 304 312 334 348 352 354 364 442 490 502	-989040823438
SPT(16)	1035578754776826301	0 10 18 90 196 198 208 210 226 228 238 240 346 418 426 436	-126674304286
STPT(10)	1035579905272775279	0 2 18 20 30 32 42 44 60 62	1023821644692
SPT(16)	1035579972379207547	0 6 32 54 62 102 110 162 164 216 224 264 272 294 320 326	1090928076960
STPT(10)	1035580636693708667	0 2 42 44 72 74 102 104 144 146	1755242578080
STPT(12)	1035580713374554937	0 2 30 32 72 74 102 104 144 146 174 176	1831923424350
TPT(14)	1035580725899537639	0 2 48 50 90 92 108 110 222 224 318 320 378 380	1844448407052