Prime p₀= 2906570886593921621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Landjunge
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2906568726464678537	0 56 80 114 122 170 174 182 204 212 216 264 272 306 330 386	-2160129243084
TPT(14)	2906569167048338021	0 2 126 128 138 140 168 170 198 200 228 230 336 338	-1719545583600
SPT(16)	2906569895030523179	0 8 12 24 68 80 98 134 198 234 252 264 308 320 324 332	-991563398442
SPT(16)	2906570377860727547	0 6 62 72 116 132 144 170 216 242 254 270 314 324 380 386	-508733194074
SPT(16)	2906570595754253969	0 14 30 74 98 144 164 188 210 234 254 300 324 368 384 398	-290839667652
SPT(16)	2906570774174787319	0 4 54 90 108 132 208 228 244 264 340 364 382 418 468 472	-112419134302
SPT(16)	2906571018220246511	0 2 32 50 56 96 98 122 156 180 182 222 228 246 276 278	131626324890
SPT(16)	2906571090367445647	0 16 24 46 66 90 94 100 126 132 136 160 180 202 210 226	203773524026
SPT(16)	2906571217492156199	0 14 38 62 68 102 104 140 192 228 230 264 270 294 318 332	330898234578
SPT(20)	2906571659396166079	0 10 42 52 120 132 154 184 208 220 222 234 258 288 310 322 390 400 432 442	772802244458
TPT(14)	2906571869776969661	0 2 36 38 66 68 78 80 150 152 156 158 168 170	983183048040