Prime p₀= 2031370858010988227 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2031369356919053867	0 2 60 62 72 74 84 86 144 146	-1501091934360
STPT(10)	2031370052925571901	0 2 6 8 48 50 90 92 96 98	-805085416326
SPT(16)	2031370063001841449	0 18 30 54 110 188 200 210 242 252 264 342 398 422 434 452	-795009146778
SPT(16)	2031370173383454679	0 12 42 90 102 124 142 174 178 210 228 250 262 310 340 352	-684627533548
STPT(10)	2031370474856691107	0 2 42 44 72 74 102 104 144 146	-383154297120
SPT(16)	2031370847186927263	0 24 30 36 70 76 114 316 378 580 618 624 658 664 670 694	-10824060964
TPT(14)	2031371414957101169	0 2 12 14 120 122 162 164 168 170 198 200 318 320	556946112942
STPT(10)	2031371520824629127	0 2 42 44 132 134 222 224 264 266	662813640900
TPT(14)	2031371873724188027	0 2 90 92 102 104 114 116 132 134 180 182 270 272	1015713199800
SPT(16)	2031372009183815603	0 18 78 116 140 144 188 200 204 216 260 264 288 326 386 404	1151172827376
SPT(16)	2031372661214769239	0 2 30 44 72 90 110 162 182 234 254 272 300 314 342 344	1803203781012