Prime p₀= 4387439493904998059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 10 2 76 2

SPT(16)	4387438335613653571	0 16 42 96 108 172 192 228 250 286 306 370 382 436 462 478	-1158291344488
TPT(14)	4387438473026550629	0 2 48 50 78 80 198 200 240 242 288 290 312 314	-1020878447430
STPT(10)	4387438736427519467	0 2 30 32 60 62 90 92 120 122	-757477478592
SPT(16)	4387438928227770263	0 38 50 80 84 104 140 168 170 198 234 254 258 288 300 338	-565677227796
STPT(12)	4387438940596697939	0 2 18 20 42 44 48 50 72 74 90 92	-553308300120
SPT(16)	4387439322517079299	0 64 108 120 172 204 234 252 280 298 328 360 412 424 468 532	-171387918760
STPT(10)	4387439564808794861	0 2 6 8 48 50 90 92 96 98	70903796802
STPT(10)	4387439584298000297	0 2 12 14 42 44 72 74 84 86	90393002238
STPT(10)	4387440094835894177	0 2 12 14 72 74 132 134 144 146	600930896118
STPT(10)	4387440303013674659	0 2 18 20 30 32 42 44 60 62	809108676600
SPT(16)	4387440391139212637	0 2 44 80 90 102 104 116 180 192 194 206 216 252 294 296	897234214578