Prime p₀= 2158879055829083849 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2158877673589228169	0 2 12 14 48 50 132 134 138 140 240 242 270 272	-1382239855680
TPT(14)	2158878064517602787	0 2 84 86 132 134 144 146 210 212 240 242 300 302	-991311481062
SPT(16)	2158878141851079013	0 4 16 40 78 106 126 144 190 208 228 256 294 318 330 334	-913978004836
SPT(16)	2158878175558290317	0 20 26 60 92 120 134 152 174 192 206 234 266 300 306 326	-880270793532
STPT(10)	2158878586517796971	0 2 36 38 78 80 120 122 156 158	-469311286878
SPT(16)	2158878817135289189	0 42 80 110 120 134 182 194 318 330 378 392 402 432 470 512	-238693794660
SPT(18)	2158879179549834967	0 10 64 84 106 120 124 130 154 162 186 192 196 210 232 252 306 316	123720751118
SPT(16)	2158879183570910501	0 42 72 78 98 108 140 182 318 360 392 402 422 428 458 500	127741826652
SPT(16)	2158879416560267537	0 24 42 80 122 134 162 170 174 182 210 222 264 302 320 344	360731183688
STPT(12)	2158880551905907757	0 2 30 32 42 44 102 104 114 116 144 146	1496076823908
STPT(10)	2158880962188202907	0 2 30 32 72 74 114 116 144 146	1906359119058