Prime p₀= 2582227970559576707 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2582226704981571559	0 28 30 52 90 118 160 168 184 192 234 262 300 322 324 352	-1265578005148
SPT(16)	2582226724261903163	0 90 96 134 158 174 180 230 294 344 350 366 390 428 434 524	-1246297673544
SPT(16)	2582226785818895659	0 34 72 94 100 112 124 160 174 210 222 234 240 262 300 334	-1184740681048
STPT(10)	2582227378102391867	0 2 12 14 42 44 72 74 84 86	-592457184840
STPT(10)	2582227521360323519	0 2 42 44 90 92 138 140 180 182	-449199253188
SPT(16)	2582227829063475379	0 34 40 42 64 90 112 120 124 132 154 180 202 204 210 244	-141496101328
SPT(16)	2582228044998348091	0 60 90 102 108 118 168 178 210 220 270 280 286 298 328 388	74438771384
SPT(18)	2582228189259597763	0 24 34 48 54 96 100 124 136 198 210 234 238 280 286 300 310 334	218700021056
TPT(14)	2582228387993515307	0 2 102 104 132 134 144 146 294 296 312 314 324 326	417433938600
STPT(10)	2582228604163511111	0 2 6 8 48 50 90 92 96 98	633603934404
STPT(10)	2582228705512291397	0 2 42 44 72 74 102 104 144 146	734952714690