Prime p₀= 2523712846984229627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2523711701113356569	0 18 30 32 54 74 78 98 114 134 138 158 180 182 194 212	-1145870873058
SPT(16)	2523711861556614151	0 12 42 48 52 76 90 126 202 238 252 276 280 286 316 328	-985427615476
SPT(16)	2523711896733110459	0 38 48 54 78 80 140 158 210 228 288 290 314 320 330 368	-950251119168
SPT(16)	2523712204839154573	0 70 76 136 150 244 294 334 336 376 426 520 534 594 600 670	-642145075054
SPT(16)	2523712417854869957	0 30 36 56 86 174 176 206 210 240 242 330 360 380 386 416	-429129359670
SPT(16)	2523712685727119129	0 12 14 20 102 152 210 224 228 242 300 350 432 438 440 452	-161257110498
SPT(16)	2523713048061769951	0 6 46 76 100 106 112 126 232 246 252 258 282 312 352 358	201077540324
STPT(10)	2523713221749430829	0 2 18 20 30 32 42 44 60 62	374765201202
STPT(10)	2523713675520954359	0 2 42 44 60 62 78 80 120 122	828536724732
STPT(10)	2523714548975441207	0 2 12 14 42 44 72 74 84 86	1701991211580
SPT(16)	2523714618722310113	0 38 44 48 80 140 144 146 168 170 174 234 266 270 276 314	1771738080486