Prime p₀= 1597040291071201979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 34 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 132 134 168 170 210 212 228 230 270 272 300 302
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: 302
Found by: biodoc
db: batch=78, k=14, 130 34 40 16 40 28

SPT(16)	1597038825211729349	0 14 32 38 50 90 120 162 170 212 242 282 294 300 318 332	-1465859472630
STPT(10)	1597039317459170909	0 2 42 44 60 62 78 80 120 122	-973612031070
STPT(10)	1597039586759661509	0 2 12 14 90 92 168 170 180 182	-704311540470
SPT(16)	1597039622350305319	0 54 82 90 130 138 174 184 198 208 244 252 292 300 328 382	-668720896660
TPT(14)	1597039833634466537	0 2 54 56 114 116 222 224 240 242 264 266 324 326	-457436735442
STPT(12)	1597040289702027557	0 2 30 32 72 74 90 92 132 134 162 164	-1369174422
STPT(10)	1597040533104318059	0 2 18 20 30 32 42 44 60 62	242033116080
SPT(16)	1597040604340834361	0 2 8 30 38 56 60 66 92 98 102 120 128 150 156 158	313269632382
STPT(10)	1597040759362717307	0 2 60 62 72 74 84 86 144 146	468291515328
SPT(16)	1597040930018736149	0 2 24 48 62 72 78 84 128 134 140 150 164 188 210 212	638947534170
SPT(16)	1597041415450093439	0 50 72 74 102 158 164 168 194 198 204 260 288 290 312 362	1124378891460