Prime p₀= 2165052579639875447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2165050278727397417	0 2 66 90 170 192 206 222 224 240 254 276 356 380 444 446	-2300912478030
TPT(14)	2165050899921984047	0 2 30 32 42 44 72 74 84 86 120 122 180 182	-1679717891400
SPT(16)	2165051597551118347	0 30 54 64 82 114 154 180 196 222 262 294 312 322 346 376	-982088757100
STPT(10)	2165051651757474251	0 2 36 38 78 80 120 122 156 158	-927882401196
SPT(16)	2165051940926131687	0 82 124 150 184 234 250 304 390 444 460 510 544 570 612 694	-638713743760
STPT(10)	2165052162749063639	0 2 42 44 60 62 78 80 120 122	-416890811808
SPT(16)	2165053036698127157	0 14 26 44 66 72 92 96 110 114 134 140 162 180 192 206	457058251710
SPT(16)	2165053224134715809	0 24 30 32 38 68 72 90 122 140 144 174 180 182 188 212	644494840362
SPT(16)	2165053365734273747	0 12 56 62 74 90 96 102 104 110 116 132 144 150 194 206	786094398300
STPT(10)	2165053537900985027	0 2 90 92 102 104 114 116 204 206	958261109580
SPT(16)	2165053761757010473	0 10 16 48 70 100 108 126 160 178 186 216 238 270 276 286	1182117135026