Prime p₀= 781086972849882497 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]steini
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	781086061070586097	0 10 72 82 100 102 106 136 156 186 190 192 210 220 282 292	-911779296400
STPT(10)	781086069976149989	0 2 18 20 60 62 102 104 120 122	-902873732508
SPT(16)	781086078050533253	0 6 20 36 38 50 74 104 120 150 174 186 188 204 218 224	-894799349244
STPT(10)	781086404487998801	0 2 90 92 108 110 126 128 216 218	-568361883696
TPT(14)	781086441130142447	0 2 24 26 60 62 222 224 264 266 282 284 312 314	-531719740050
STPT(10)	781086667560663197	0 2 30 32 42 44 54 56 84 86	-305289219300
SPT(16)	781087104984705011	0 30 36 38 42 50 72 108 110 146 168 176 180 182 188 218	132134822514
SPT(16)	781087203211471021	0 10 46 66 78 108 126 130 228 232 250 280 292 312 348 358	230361588524
SPT(16)	781087222209420989	0 42 62 78 102 108 234 254 288 308 434 440 464 480 500 542	249359538492
STPT(10)	781087231419399209	0 2 42 44 90 92 138 140 180 182	258569516712
SPT(16)	781087318401863821	0 18 28 40 60 82 102 106 192 196 216 238 258 270 280 298	345551981324