Prime p₀= 2004254809796379599 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: Dingo
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2004253753470096157	0 16 82 96 100 124 154 184 222 252 282 306 310 324 390 406	-1056326283442
TPT(14)	2004254001134825681	0 2 36 38 96 98 126 128 150 152 258 260 348 350	-808661553918
STPT(10)	2004254007076657277	0 2 30 32 42 44 54 56 84 86	-802719722322
STPT(10)	2004254058316175681	0 2 36 38 78 80 120 122 156 158	-751480203918
SPT(16)	2004254239250494817	0 14 24 84 126 150 164 186 200 222 236 260 302 362 372 386	-570545884782
TPT(14)	2004254646419275949	0 2 180 182 210 212 228 230 240 242 270 272 408 410	-163377103650
SPT(16)	2004255064424535253	0 6 16 34 60 108 144 148 156 160 196 244 270 288 298 304	254628155654
SPT(16)	2004255424587462637	0 12 42 66 82 96 106 120 142 156 166 180 196 220 250 262	614791083038
SPT(16)	2004255435191394677	0 12 26 42 62 84 120 140 186 206 242 264 284 300 314 326	625395015078
STPT(10)	2004255488019772187	0 2 30 32 72 74 114 116 144 146	678223392588
SPT(16)	2004256004890238023	0 18 46 70 94 124 130 150 184 204 210 240 264 288 316 334	1195093858424