Prime p₀= 4387439584298000297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 10 2 28 2

STPT(10)	4387438736427519467	0 2 30 32 60 62 90 92 120 122	-847870480830
SPT(16)	4387438928227770263	0 38 50 80 84 104 140 168 170 198 234 254 258 288 300 338	-656070230034
STPT(12)	4387438940596697939	0 2 18 20 42 44 48 50 72 74 90 92	-643701302358
SPT(16)	4387439322517079299	0 64 108 120 172 204 234 252 280 298 328 360 412 424 468 532	-261780920998
STPT(10)	4387439493904998059	0 2 12 14 90 92 168 170 180 182	-90393002238
STPT(10)	4387439564808794861	0 2 6 8 48 50 90 92 96 98	-19489205436
STPT(10)	4387440094835894177	0 2 12 14 72 74 132 134 144 146	510537893880
STPT(10)	4387440303013674659	0 2 18 20 30 32 42 44 60 62	718715674362
SPT(16)	4387440391139212637	0 2 44 80 90 102 104 116 180 192 194 206 216 252 294 296	806841212340
SPT(16)	4387440950208773467	0 24 72 90 114 180 222 262 264 304 346 412 436 454 502 526	1365910773170
SPT(16)	4387441227256615103	0 8 20 30 44 78 158 170 174 186 266 300 314 324 336 344	1642958614806