Prime p₀= 1025558598536429999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1025557687122834869	0 14 78 98 122 128 132 150 152 170 174 180 204 224 288 302	-911413595130
STPT(10)	1025557688439494261	0 2 6 8 18 20 30 32 36 38	-910096935738
STPT(10)	1025557810041737177	0 2 30 32 102 104 174 176 204 206	-788494692822
SPT(16)	1025558362702556257	0 12 40 42 124 130 144 210 226 292 306 312 394 396 424 436	-235833873742
SPT(16)	1025558372770749329	0 2 74 78 80 150 152 168 194 210 212 282 284 288 360 362	-225765680670
SPT(16)	1025558501241363491	0 2 6 8 62 72 80 108 110 138 146 156 210 212 216 218	-97295066508
SPT(16)	1025558725484688931	0 16 30 40 48 70 112 126 172 186 228 250 258 268 282 298	126948258932
STPT(10)	1025558961687570377	0 2 60 62 72 74 84 86 144 146	363151140378
STPT(10)	1025559344500515989	0 2 48 50 90 92 132 134 180 182	745964085990
TPT(14)	1025559750912227537	0 2 84 86 144 146 360 362 444 446 450 452 492 494	1152375797538
STPT(10)	1025559775047342551	0 2 30 32 78 80 126 128 156 158	1176510912552