Prime p₀= 1024735084047306857 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(20)	1024733917258903591	0 48 60 70 78 90 102 108 130 132 148 150 172 178 190 202 210 220 232 280	-1166788403266
SPT(16)	1024734231295616729	0 12 18 20 60 84 132 158 174 200 248 272 312 314 320 332	-852751690128
SPT(16)	1024734474561030769	0 18 42 54 70 72 100 154 198 252 280 282 298 310 334 352	-609486276088
SPT(16)	1024734509677784771	0 60 68 78 108 110 120 138 188 206 216 218 248 258 266 326	-574369522086
SPT(16)	1024734547389255223	0 16 34 36 100 108 154 184 210 240 286 294 358 360 378 394	-536658051634
STPT(10)	1024734551522889749	0 2 12 14 90 92 168 170 180 182	-532524417108
SPT(16)	1024735117877447021	0 12 42 62 110 126 152 180 212 240 266 282 330 350 380 392	33830140164
STPT(10)	1024735278255971717	0 2 30 32 42 44 54 56 84 86	194208664860
SPT(16)	1024735581237463939	0 4 28 34 60 70 72 112 120 160 162 172 198 204 228 232	497190157082
STPT(10)	1024736122262906189	0 2 12 14 90 92 168 170 180 182	1038215599332
TPT(14)	1024736137858111529	0 2 12 14 48 50 132 134 198 200 210 212 240 242	1053810804672