Prime p₀= 1231586937535234331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Skivelitis2
db: batch=77, k=10, 2 4 2 10 2

TPT(14)	1231586004044277839	0 2 18 20 42 44 102 104 150 152 168 170 192 194	-933490956492
SPT(16)	1231586067439861751	0 30 56 60 62 72 120 146 186 212 260 270 272 276 302 332	-870095372580
SPT(16)	1231586361083092561	0 22 96 126 148 150 162 172 186 196 208 210 232 262 336 358	-576452141770
SPT(16)	1231586381390119789	0 12 24 40 42 52 82 112 150 180 210 220 222 238 250 262	-556145114542
STPT(10)	1231586482790495729	0 2 18 20 30 32 42 44 60 62	-454744738602
SPT(16)	1231586566609387757	0 2 6 62 104 110 126 146 150 170 186 192 234 290 294 296	-370925846574
TPT(14)	1231587184152789491	0 2 30 32 126 128 150 152 186 188 198 200 240 242	246617555160
STPT(10)	1231587236604914879	0 2 18 20 30 32 42 44 60 62	299069680548
SPT(16)	1231587455092375319	0 2 30 42 68 92 120 122 198 200 228 252 278 290 318 320	517557140988
SPT(16)	1231587712557548831	0 6 36 38 60 78 102 116 132 146 170 188 210 212 242 248	775022314500
SPT(16)	1231587833397137761	0 12 30 42 88 100 102 132 208 238 240 252 298 310 328 340	895861903430