Prime p₀= 2158032324786501617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2158030606179743467	0 30 34 64 112 130 132 142 144 154 156 174 222 252 256 286	-1718606758150
STPT(10)	2158031651418912089	0 2 42 44 60 62 78 80 120 122	-673367589528
SPT(16)	2158031730932527231	0 6 22 28 42 52 108 136 162 190 246 256 270 276 292 298	-593853974386
SPT(16)	2158031744839451311	0 6 10 52 70 90 102 106 216 220 232 252 270 312 316 322	-579947050306
STPT(10)	2158032165221740781	0 2 30 32 120 122 210 212 240 242	-159564760836
SPT(16)	2158032191454684689	0 2 14 42 60 72 74 114 170 210 212 224 242 270 282 284	-133331816928
SPT(16)	2158032357972207841	0 10 36 42 66 76 108 130 168 190 222 232 256 262 288 298	33185706224
STPT(10)	2158032528115058471	0 2 30 32 60 62 90 92 120 122	203328556854
STPT(10)	2158032914362011917	0 2 24 26 42 44 60 62 84 86	589575510300
STPT(10)	2158033276319424851	0 2 6 8 48 50 90 92 96 98	951532923234
SPT(16)	2158033377747543287	0 56 60 84 116 120 132 140 186 194 206 210 242 266 270 326	1052961041670