Prime p₀= 798712096287587927 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	798711488504810971	0 48 70 90 96 112 126 142 156 172 186 202 208 228 250 298	-607782776956
SPT(16)	798711531348594953	0 20 26 56 78 96 110 140 144 174 188 206 228 258 264 284	-564938992974
STPT(10)	798711681667095401	0 2 6 8 18 20 30 32 36 38	-414620492526
STPT(10)	798711737450159957	0 2 54 56 72 74 90 92 144 146	-358837427970
SPT(16)	798712028103094531	0 10 40 72 82 100 126 132 160 166 192 210 220 252 282 292	-68184493396
SPT(16)	798712065329993531	0 6 8 30 36 66 78 80 96 98 110 140 146 168 170 176	-30957594396
SPT(16)	798712177178638729	0 18 40 42 52 94 102 108 154 160 168 210 220 222 244 262	80891050802
STPT(10)	798712422426162611	0 2 6 8 48 50 90 92 96 98	326138574684
SPT(16)	798712749516403121	0 30 56 72 78 86 92 122 156 186 192 200 206 222 248 278	653228815194
SPT(16)	798712811440563181	0 16 42 70 82 96 106 126 136 156 166 180 192 220 246 262	715152975254
STPT(10)	798713058440023169	0 2 18 20 60 62 102 104 120 122	962152435242