Prime p₀= 724965750571162277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: stasieks
db: batch=73, k=10, 2 58 2 10 2

TPT(14)	724965350876822369	0 2 12 14 18 20 30 32 138 140 222 224 228 230	-399694339908
SPT(16)	724965409683397873	0 28 64 70 106 118 124 180 184 240 246 258 294 300 336 364	-340887764404
SPT(16)	724965625031397391	0 6 10 42 48 76 118 136 162 180 222 250 256 288 292 298	-125539764886
SPT(16)	724965632900512753	0 24 36 60 114 126 136 156 178 198 208 220 274 298 310 334	-117670649524
STPT(10)	724965649225320617	0 2 30 32 102 104 174 176 204 206	-101345841660
STPT(10)	724965679240446701	0 2 30 32 78 80 126 128 156 158	-71330715576
SPT(16)	724965776976206789	0 20 44 60 74 122 140 144 188 192 210 258 272 288 312 332	26405044512
STPT(10)	724965882007320101	0 2 36 38 78 80 120 122 156 158	131436157824
STPT(10)	724965947082804521	0 2 6 8 48 50 90 92 96 98	196511642244
SPT(16)	724966026700242251	0 8 38 42 72 80 108 150 170 212 240 248 278 282 312 320	276129079974
TPT(14)	724966519650151841	0 2 18 20 138 140 228 230 306 308 336 338 360 362	769078989564