Prime p₀= 1728631395774999767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 16 2 58 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 102 104 162 164 174 176
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: 176
Found by: CoolAtchOk
db: batch=79, k=14, 28 28 22 16 58 10

SPT(16)	1728630884809533737	0 30 60 86 90 92 102 126 146 170 180 182 186 212 242 272	-510965466030
STPT(10)	1728630938696893277	0 2 12 14 72 74 132 134 144 146	-457078106490
STPT(10)	1728630949588355357	0 2 150 152 180 182 210 212 360 362	-446186644410
TPT(14)	1728631090028225039	0 2 150 152 198 200 228 230 282 284 312 314 360 362	-305746774728
STPT(12)	1728631090028225189	0 2 48 50 78 80 132 134 162 164 210 212	-305746774578
STPT(10)	1728631195526176691	0 2 36 38 78 80 120 122 156 158	-200248823076
STPT(10)	1728631424779358129	0 2 18 20 30 32 42 44 60 62	29004358362
STPT(10)	1728631472300937887	0 2 42 44 72 74 102 104 144 146	76525938120
STPT(10)	1728631559769854807	0 2 12 14 72 74 132 134 144 146	163994855040
SPT(16)	1728631669529164459	0 12 24 114 142 180 190 208 234 252 262 300 328 418 430 442	273754164692
SPT(16)	1728631779682041617	0 12 26 32 56 80 132 140 186 194 246 270 294 300 314 326	383907041850