Prime p₀= 1051313341905596837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1051311900580273877	0 2 30 32 42 44 54 56 84 86	-1441325322960
STPT(10)	1051312058249355107	0 2 72 74 102 104 132 134 204 206	-1283656241730
SPT(16)	1051312714522415197	0 24 30 54 72 124 142 144 220 222 240 292 310 334 340 364	-627383181640
TPT(14)	1051312737950360069	0 2 72 74 90 92 198 200 240 242 252 254 312 314	-603955236768
SPT(16)	1051313083139642567	0 24 44 66 74 96 132 140 156 164 200 222 230 252 272 296	-258765954270
SPT(16)	1051313290912950829	0 10 18 70 88 100 208 222 238 252 360 372 390 442 450 460	-50992646008
SPT(16)	1051313795164501931	0 2 90 98 110 128 138 152 168 182 192 210 222 230 318 320	453258905094
SPT(16)	1051313824225061381	0 8 90 102 110 158 162 168 242 248 252 300 308 320 402 410	482319464544
STPT(10)	1051314055159114427	0 2 72 74 102 104 132 134 204 206	713253517590
SPT(16)	1051314172594552873	0 34 54 90 108 130 184 196 198 210 264 286 304 340 360 394	830688956036
TPT(14)	1051314491151051299	0 2 42 44 210 212 228 230 282 284 300 302 468 470	1149245454462