Prime p₀= 1253218728334849667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1253217823221252839	0 2 18 20 30 32 42 44 60 62	-905113596828
STPT(10)	1253218090499167589	0 2 18 20 30 32 42 44 60 62	-637835682078
SPT(16)	1253218173639377069	0 18 20 42 78 144 152 164 288 300 308 374 410 432 434 452	-554695472598
SPT(16)	1253218373964176749	0 12 30 34 48 52 54 114 178 238 240 244 258 262 280 292	-354370672918
STPT(10)	1253218493938499069	0 2 18 20 60 62 102 104 120 122	-234396350598
STPT(10)	1253218710016887371	0 2 6 8 18 20 30 32 36 38	-18317962296
STPT(10)	1253219526410000087	0 2 30 32 120 122 210 212 240 242	798075150420
SPT(16)	1253219589316977461	0 2 18 32 36 50 56 78 110 132 138 152 156 170 186 188	860982127794
STPT(10)	1253219605046372567	0 2 42 44 102 104 162 164 204 206	876711522900
SPT(16)	1253220050462126581	0 18 42 48 66 108 130 160 168 198 220 262 280 286 310 328	1322127276914
SPT(16)	1253220353257596541	0 12 28 48 76 82 102 132 136 166 186 192 220 240 256 268	1624922746874