Prime p₀= 4387548676882711391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 4 2 10 2

STPT(10)	4387547100249780251	0 2 36 38 78 80 120 122 156 158	-1576632931140
SPT(16)	4387547480990506193	0 30 50 60 74 86 104 110 204 210 228 240 254 264 284 314	-1195892205198
STPT(10)	4387547579528177357	0 2 42 44 72 74 102 104 144 146	-1097354534034
SPT(16)	4387547987514440107	0 64 66 76 100 126 156 192 244 280 310 336 360 370 372 436	-689368271284
STPT(10)	4387548218435544971	0 2 6 8 48 50 90 92 96 98	-458447166420
STPT(10)	4387548368098225019	0 2 18 20 30 32 42 44 60 62	-308784486372
SPT(16)	4387548821540984221	0 12 28 42 48 136 148 162 166 180 192 280 286 300 316 328	144658272830
SPT(16)	4387549184142636073	0 34 46 70 78 168 190 204 310 324 346 436 444 468 480 514	507259924682
SPT(16)	4387549554637387339	0 48 64 78 84 112 130 148 174 192 210 238 244 258 274 322	877754675948
SPT(16)	4387549986920555311	0 96 106 112 150 162 180 216 226 262 280 292 330 336 346 442	1310037843920
STPT(10)	4387550380769946491	0 2 6 8 48 50 90 92 96 98	1703887235100