Prime p₀= 2325856302031408799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 16 2 10 2 28 2 4 2 (?)
a_n: 0 2 90 92 102 104 120 122 132 134 162 164 168 170
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: 170
Found by: Orange Kid
db: batch=81, k=14, 88 10 16 10 28 4

SPT(16)	2325854833470963979	0 34 70 72 100 108 112 132 220 240 244 252 280 282 318 352	-1468560444820
SPT(16)	2325855206752400507	0 44 60 66 72 86 122 144 182 204 240 254 260 266 282 326	-1095279008292
SPT(16)	2325855257252781157	0 10 24 70 150 156 166 204 226 264 274 280 360 406 420 430	-1044778627642
SPT(16)	2325855811217153827	0 36 42 52 76 96 120 126 160 166 190 210 234 244 250 286	-490814254972
STPT(10)	2325856169136239219	0 2 18 20 30 32 42 44 60 62	-132895169580
SPT(16)	2325856272684331477	0 30 96 112 114 142 160 216 220 276 294 322 324 340 406 436	-29347077322
SPT(16)	2325856541004259787	0 14 32 44 60 72 84 110 144 170 182 194 210 222 240 254	238972850988
TPT(14)	2325856867173082079	0 2 12 14 102 104 180 182 198 200 222 224 258 260	565141673280
STPT(10)	2325857467336104641	0 2 30 32 60 62 90 92 120 122	1165304695842
SPT(16)	2325857637322016771	0 78 96 138 198 212 218 228 260 270 276 290 350 392 410 488	1335290607972
STPT(10)	2325857773753147727	0 2 30 32 60 62 90 92 120 122	1471721738928