Prime p₀= 2858957306945697281 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2858956010315446861	0 10 52 102 136 150 162 172 186 196 208 222 256 306 348 358	-1296630250420
SPT(16)	2858956230241489471	0 10 18 60 78 108 126 130 168 172 190 220 238 280 288 298	-1076704207810
SPT(16)	2858956295848896541	0 18 22 42 78 96 100 130 138 168 172 190 226 246 250 268	-1011096800740
STPT(10)	2858956320019913957	0 2 30 32 42 44 54 56 84 86	-986925783324
STPT(10)	2858956917655132937	0 2 24 26 42 44 60 62 84 86	-389290564344
STPT(10)	2858957193882120311	0 2 30 32 78 80 126 128 156 158	-113063576970
STPT(10)	2858957539576296251	0 2 30 32 60 62 90 92 120 122	232630598970
SPT(16)	2858957690343303301	0 16 46 78 90 112 126 130 198 202 216 238 250 282 312 328	383397606020
STPT(10)	2858957782892969057	0 2 24 26 42 44 60 62 84 86	475947271776
SPT(16)	2858957789523399163	0 18 34 40 78 124 138 160 174 196 210 256 294 300 316 334	482577701882
SPT(16)	2858958242697749963	0 24 36 56 110 128 140 144 260 264 276 294 348 368 380 404	935752052682