Prime p₀= 1016253416839611719 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1016251780093049411	0 2 6 8 18 20 30 32 36 38	-1636746562308
STPT(10)	1016251932658806617	0 2 54 56 72 74 90 92 144 146	-1484180805102
SPT(16)	1016252766969725941	0 6 18 28 42 108 112 118 120 126 130 196 210 220 232 238	-649869885778
SPT(16)	1016252818710580177	0 4 24 30 46 60 130 132 154 156 226 240 256 262 282 286	-598129031542
STPT(10)	1016253048275427887	0 2 12 14 42 44 72 74 84 86	-368564183832
STPT(10)	1016253121972104629	0 2 18 20 30 32 42 44 60 62	-294867507090
STPT(10)	1016253604204048097	0 2 30 32 42 44 54 56 84 86	187364436378
SPT(18)	1016253688626279281	0 12 36 38 50 62 122 126 146 252 272 276 336 348 360 362 386 398	271786667562
SPT(16)	1016254192178086171	0 18 70 90 112 118 142 162 226 246 270 276 298 318 370 388	775338474452
SPT(16)	1016254317256716127	0 64 90 102 106 120 162 186 220 244 286 300 304 316 342 406	900417104408
SPT(16)	1016254396321804853	0 6 14 36 44 78 98 110 114 126 146 180 188 210 218 224	979482193134