Prime p₀= 4387548368098225019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 16 2 10 2

TPT(14)	4387546809534714227	0 2 24 26 54 56 120 122 132 134 150 152 162 164	-1558563510792
STPT(10)	4387547100249780251	0 2 36 38 78 80 120 122 156 158	-1267848444768
SPT(16)	4387547480990506193	0 30 50 60 74 86 104 110 204 210 228 240 254 264 284 314	-887107718826
STPT(10)	4387547579528177357	0 2 42 44 72 74 102 104 144 146	-788570047662
SPT(16)	4387547987514440107	0 64 66 76 100 126 156 192 244 280 310 336 360 370 372 436	-380583784912
STPT(10)	4387548218435544971	0 2 6 8 48 50 90 92 96 98	-149662680048
STPT(10)	4387548676882711391	0 2 6 8 18 20 30 32 36 38	308784486372
SPT(16)	4387548821540984221	0 12 28 42 48 136 148 162 166 180 192 280 286 300 316 328	453442759202
SPT(16)	4387549184142636073	0 34 46 70 78 168 190 204 310 324 346 436 444 468 480 514	816044411054
SPT(16)	4387549554637387339	0 48 64 78 84 112 130 148 174 192 210 238 244 258 274 322	1186539162320
SPT(16)	4387549986920555311	0 96 106 112 150 162 180 216 226 262 280 292 330 336 346 442	1618822330292