Prime p₀= 2350113061267049717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Vato
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2350111737316330441	0 6 28 42 58 70 88 112 156 180 198 210 226 240 262 268	-1323950719276
STPT(10)	2350112103749884181	0 2 138 140 168 170 198 200 336 338	-957517165536
STPT(10)	2350112342962476611	0 2 30 32 78 80 126 128 156 158	-718304573106
SPT(16)	2350112371242616679	0 12 20 44 54 62 80 132 230 282 300 308 318 342 350 362	-690024433038
STPT(10)	2350112518290168167	0 2 30 32 42 44 54 56 84 86	-542976881550
SPT(16)	2350112539819283683	0 16 54 70 108 136 138 156 178 196 198 226 264 280 318 334	-521447766034
SPT(16)	2350113120720775313	0 24 30 38 50 54 74 96 98 120 140 144 156 164 170 194	59453725596
STPT(10)	2350114266262263047	0 2 30 32 42 44 54 56 84 86	1204995213330
SPT(16)	2350114277114946827	0 14 50 60 80 114 140 150 266 276 302 336 356 366 402 416	1215847897110
SPT(16)	2350114369410213551	0 32 36 78 92 110 120 132 146 158 168 186 200 242 246 278	1308143163834
SPT(16)	2350114529464045243	0 6 40 60 70 78 118 138 148 168 208 216 226 246 280 286	1468196995526