Prime p₀= 2958121425996294599 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: Asgard2022
db: batch=82, k=10, 2 16 2 10 2

STPT(12)	2958118266017461409	0 2 30 32 42 44 90 92 102 104 132 134	-3159978833190
SPT(20)	2958118556346696317	0 26 56 110 120 134 144 156 170 180 266 276 290 302 312 326 336 390 420 446	-2869649598282
TPT(14)	2958119862641661371	0 2 66 68 90 92 96 98 216 218 258 260 276 278	-1563354633228
STPT(10)	2958120496784362697	0 2 60 62 72 74 84 86 144 146	-929211931902
SPT(16)	2958120628146229561	0 22 100 112 130 142 178 198 220 240 276 288 306 318 396 418	-797850065038
SPT(16)	2958120647780093857	0 22 54 70 102 112 120 124 150 154 162 172 204 220 252 274	-778216200742
SPT(16)	2958121661976275653	0 18 24 108 124 130 150 178 210 238 258 264 280 364 370 388	235979981054
STPT(10)	2958122339615761697	0 2 30 32 42 44 54 56 84 86	913619467098
SPT(16)	2958122420543002747	0 6 40 42 60 66 112 126 136 150 196 202 220 222 256 262	994546708148
SPT(16)	2958122434832562499	0 12 22 28 34 60 82 84 88 90 112 138 144 150 160 172	1008836267900
SPT(16)	2958122580130273757	0 56 60 62 66 116 134 152 174 192 210 260 264 266 270 326	1154133979158