Prime p₀= 2369806631111574227 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: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2369805103086025999	0 52 84 102 114 132 214 220 234 240 322 340 352 370 402 454	-1528025548228
STPT(10)	2369805242923877789	0 2 18 20 30 32 42 44 60 62	-1388187696438
STPT(12)	2369805339598478609	0 2 18 20 42 44 78 80 102 104 120 122	-1291513095618
SPT(16)	2369805515125979837	0 56 60 134 156 162 170 176 180 186 194 200 222 296 300 356	-1115985594390
SPT(16)	2369805853910141243	0 36 48 84 108 114 150 224 240 314 350 356 380 416 428 464	-777201432984
STPT(10)	2369806302982322819	0 2 18 20 30 32 42 44 60 62	-328129251408
SPT(16)	2369806997241118739	0 20 50 68 84 90 108 150 152 194 212 218 234 252 282 302	366129544512
SPT(16)	2369807116349005601	0 30 72 92 108 120 140 182 228 270 290 302 318 338 380 410	485237431374
SPT(16)	2369807201431634057	0 56 60 80 150 156 164 176 234 246 254 260 330 350 354 410	570320059830
STPT(10)	2369807207847367019	0 2 42 44 90 92 138 140 180 182	576735792792
SPT(16)	2369807373546632681	0 26 56 60 72 138 156 162 176 182 200 266 278 282 312 338	742435058454