Prime p₀= 2037020343012241577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 40 2 88 2

STPT(10)	2037019585908234839	0 2 18 20 30 32 42 44 60 62	-757104006738
SPT(16)	2037019637754101687	0 24 36 44 96 114 150 156 164 170 206 224 276 284 296 320	-705258139890
SPT(16)	2037020011453845421	0 22 76 100 120 126 132 156 202 226 232 238 258 282 336 358	-331558396156
TPT(14)	2037020137623412769	0 2 42 44 48 50 102 104 168 170 252 254 312 314	-205388828808
SPT(16)	2037020197334250589	0 60 90 102 112 114 168 174 178 184 238 240 250 262 292 352	-145677990988
TPT(14)	2037020258547681059	0 2 30 32 72 74 90 92 102 104 120 122 198 200	-84464560518
SPT(16)	2037020412565487021	0 2 18 60 96 122 192 228 260 296 366 392 428 470 486 488	69553245444
STPT(10)	2037020591205161867	0 2 30 32 42 44 54 56 84 86	248192920290
SPT(16)	2037020796050875751	0 2 78 98 162 168 180 210 230 260 272 278 342 362 438 440	453038634174
SPT(16)	2037021051216305719	0 10 28 64 108 118 120 144 154 178 180 190 234 270 288 298	708204064142
SPT(16)	2037021075113560463	0 44 54 56 78 114 120 198 266 344 350 386 408 410 420 464	732101318886