Prime p₀= 3029516000024857559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 70 2 16 2 40 2 46 2 (?)
a_n: 0 2 60 62 138 140 210 212 228 230 270 272 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 58 76 70 16 40 46

SPT(16)	3029515124019574469	0 30 38 44 54 74 90 102 110 122 138 158 168 174 182 212	-876005283090
SPT(16)	3029515447470435863	0 24 80 150 188 200 216 284 300 368 384 396 434 504 560 584	-552554421696
STPT(10)	3029515490325616811	0 2 30 32 78 80 126 128 156 158	-509699240748
STPT(10)	3029515689814129799	0 2 48 50 90 92 132 134 180 182	-310210727760
STPT(10)	3029515889544160139	0 2 12 14 30 32 48 50 60 62	-110480697420
SPT(16)	3029515912416666587	0 14 24 74 96 116 144 150 176 182 210 230 252 302 312 326	-87608190972
SPT(16)	3029516018663983909	0 12 40 42 54 64 130 142 210 222 288 298 310 312 340 352	18639126350
STPT(10)	3029516254576885259	0 2 18 20 30 32 42 44 60 62	254552027700
STPT(10)	3029517562434799559	0 2 12 14 30 32 48 50 60 62	1562409942000
SPT(16)	3029517619914917501	0 12 56 62 80 86 108 132 146 170 192 198 216 222 266 278	1619890059942
STPT(10)	3029517764217776441	0 2 30 32 78 80 126 128 156 158	1764192918882