Prime p₀= 2299252174719162329 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: JonS
db: batch=81, k=10, 2 16 2 10 2

SPT(18)	2299251453448824167	0 14 44 86 90 102 170 182 192 314 324 336 404 416 420 462 492 506	-721270338162
STPT(10)	2299251546525038969	0 2 132 134 210 212 288 290 420 422	-628194123360
SPT(16)	2299251687288437381	0 56 62 68 132 168 170 198 230 258 260 296 360 366 372 428	-487430724948
SPT(16)	2299252072892885797	0 22 42 46 102 120 130 156 196 222 232 250 306 310 330 352	-101826276532
SPT(16)	2299252092171770059	0 22 60 78 88 90 114 120 142 148 172 174 184 202 240 262	-82547392270
SPT(13)	2299252110327803479	0 18 30 60 90 120 144 168 198 228 258 270 288	-64391358850
STPT(10)	2299252195684669781	0 2 6 8 48 50 90 92 96 98	20965507452
SPT(13)	2299252342834440737	0 30 42 60 72 84 102 120 132 144 162 174 204	168115278408
SPT(16)	2299252528393254113	0 38 56 60 128 158 168 198 206 236 246 276 344 348 366 404	353674091784
STPT(10)	2299252683427295381	0 2 36 38 78 80 120 122 156 158	508708133052
SPT(13)	2299252733773332947	0 30 36 96 114 150 180 210 246 264 324 330 360	559054170618