Prime p₀= 2820457728534012599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2820455773035094277	0 6 12 62 74 102 122 140 156 174 194 222 234 284 290 296	-1955498918322
STPT(10)	2820456046841657837	0 2 30 32 42 44 54 56 84 86	-1681692354762
SPT(16)	2820456619791870203	0 20 30 44 74 110 126 134 180 188 204 240 270 284 294 314	-1108742142396
SPT(16)	2820456877748193083	0 14 26 44 78 96 110 116 138 144 158 176 210 228 240 254	-850785819516
SPT(16)	2820456975135369989	0 14 122 144 150 188 198 210 212 224 234 272 278 300 408 422	-753398642610
SPT(16)	2820457601500341337	0 22 52 64 72 100 132 150 166 184 216 244 252 264 294 316	-127033671262
TPT(14)	2820457785160945379	0 2 30 32 72 74 90 92 102 104 258 260 282 284	56626932780
SPT(16)	2820457876354609313	0 18 20 50 56 98 104 144 170 210 216 258 264 294 296 314	147820596714
SPT(16)	2820458767312430729	0 30 84 90 92 104 134 144 158 168 198 210 212 218 272 302	1038778418130
STPT(10)	2820458967936529487	0 2 12 14 42 44 72 74 84 86	1239402516888
SPT(16)	2820459372979888877	0 20 30 72 116 146 150 174 182 206 210 240 284 326 336 356	1644445876278