Prime p₀= 1253218710016887371 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: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1253217776638280293	0 54 60 78 106 120 124 126 148 150 154 168 196 214 220 274	-933378607078
STPT(10)	1253217823221252839	0 2 18 20 30 32 42 44 60 62	-886795634532
STPT(10)	1253218090499167589	0 2 18 20 30 32 42 44 60 62	-619517719782
SPT(16)	1253218173639377069	0 18 20 42 78 144 152 164 288 300 308 374 410 432 434 452	-536377510302
SPT(16)	1253218373964176749	0 12 30 34 48 52 54 114 178 238 240 244 258 262 280 292	-336052710622
STPT(10)	1253218493938499069	0 2 18 20 60 62 102 104 120 122	-216078388302
STPT(10)	1253218728334849667	0 2 30 32 42 44 54 56 84 86	18317962296
STPT(10)	1253219526410000087	0 2 30 32 120 122 210 212 240 242	816393112716
SPT(16)	1253219589316977461	0 2 18 32 36 50 56 78 110 132 138 152 156 170 186 188	879300090090
STPT(10)	1253219605046372567	0 2 42 44 102 104 162 164 204 206	895029485196
SPT(16)	1253220050462126581	0 18 42 48 66 108 130 160 168 198 220 262 280 286 310 328	1340445239210