Prime p₀= 2068623689286892217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=80, k=10, 2 28 2 10 2

STPT(12)	2068621409107115801	0 2 30 32 78 80 120 122 168 170 198 200	-2280179776416
TPT(14)	2068621605220507637	0 2 24 26 54 56 60 62 210 212 264 266 312 314	-2084066384580
STPT(10)	2068621677897755081	0 2 6 8 48 50 90 92 96 98	-2011389137136
SPT(16)	2068622557260203341	0 22 42 82 160 220 258 262 456 460 498 558 636 676 696 718	-1132026688876
SPT(16)	2068622809359267211	0 22 42 46 120 136 150 162 196 208 222 238 312 316 336 358	-879927625006
STPT(10)	2068623400077429197	0 2 30 32 60 62 90 92 120 122	-289209463020
SPT(16)	2068623781638524783	0 24 110 114 116 126 144 156 164 176 194 204 206 210 296 320	92351632566
STPT(10)	2068623828613113389	0 2 48 50 60 62 72 74 120 122	139326221172
SPT(16)	2068623900169881493	0 10 48 66 90 118 190 196 228 234 306 334 358 376 414 424	210882989276
SPT(16)	2068624376058899143	0 16 46 66 84 108 114 148 156 190 196 220 238 258 288 304	686772006926
SPT(16)	2068624379711365429	0 72 90 202 210 214 238 244 378 384 408 412 420 532 550 622	690424473212