Prime p₀= 2858957539576296251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2858956230241489471	0 10 18 60 78 108 126 130 168 172 190 220 238 280 288 298	-1309334806780
SPT(16)	2858956295848896541	0 18 22 42 78 96 100 130 138 168 172 190 226 246 250 268	-1243727399710
STPT(10)	2858956320019913957	0 2 30 32 42 44 54 56 84 86	-1219556382294
STPT(10)	2858956917655132937	0 2 24 26 42 44 60 62 84 86	-621921163314
STPT(10)	2858957193882120311	0 2 30 32 78 80 126 128 156 158	-345694175940
STPT(10)	2858957306945697281	0 2 36 38 78 80 120 122 156 158	-232630598970
SPT(16)	2858957690343303301	0 16 46 78 90 112 126 130 198 202 216 238 250 282 312 328	150767007050
STPT(10)	2858957782892969057	0 2 24 26 42 44 60 62 84 86	243316672806
SPT(16)	2858957789523399163	0 18 34 40 78 124 138 160 174 196 210 256 294 300 316 334	249947102912
SPT(16)	2858958242697749963	0 24 36 56 110 128 140 144 260 264 276 294 348 368 380 404	703121453712
SPT(16)	2858958524797767253	0 108 114 124 138 148 168 190 198 220 240 250 264 274 280 388	985221471002