Prime p₀= 2828074570604862107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2828072248730818963	0 46 66 96 124 126 180 196 234 250 304 306 334 364 384 430	-2321874043144
SPT(16)	2828072350432576801	0 60 66 88 120 130 156 180 196 220 246 256 288 310 316 376	-2220172285306
SPT(16)	2828072550188008993	0 24 30 64 90 100 150 154 156 160 210 220 246 280 286 310	-2020416853114
SPT(16)	2828073241789566929	0 2 104 120 132 204 222 288 314 380 398 470 482 498 600 602	-1328815295178
TPT(14)	2828073451906612517	0 2 24 26 60 62 114 116 150 152 180 182 252 254	-1118698249590
STPT(10)	2828073562341828497	0 2 54 56 72 74 90 92 144 146	-1008263033610
TPT(14)	2828075142904411667	0 2 54 56 120 122 222 224 282 284 330 332 414 416	572299549560
SPT(16)	2828075299232385361	0 42 48 52 162 178 210 228 280 298 330 346 456 460 466 508	728627523254
SPT(16)	2828075602622411683	0 48 58 90 94 124 136 166 168 198 210 240 244 276 286 334	1032017549576
TPT(14)	2828076331170434621	0 2 6 8 60 62 138 140 156 158 168 170 270 272	1760565572514
SPT(16)	2828076598944678271	0 12 42 130 136 150 156 180 238 262 268 282 288 376 406 418	2028339816164