Prime p₀= 802775470064357729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	802774298347401131	0 36 48 78 90 120 146 152 246 252 278 308 320 350 362 398	-1171716956598
STPT(10)	802774661748286679	0 2 12 14 90 92 168 170 180 182	-808316071050
SPT(16)	802774755824213567	0 42 54 84 92 110 120 132 134 146 156 174 182 212 224 266	-714240144162
SPT(16)	802774831230576467	0 30 32 42 44 120 126 162 194 230 236 312 314 324 326 356	-638833781262
SPT(16)	802774863191707079	0 14 18 32 98 102 134 144 308 318 350 354 420 434 438 452	-606872650650
SPT(16)	802775082634107169	0 4 34 70 100 114 160 168 244 252 298 312 342 378 408 412	-387430250560
SPT(16)	802775647558904011	0 46 72 126 186 202 208 222 256 270 276 292 352 406 432 478	177494546282
STPT(10)	802775845388443481	0 2 36 38 78 80 120 122 156 158	375324085752
STPT(10)	802775970834117617	0 2 30 32 42 44 54 56 84 86	500769759888
STPT(10)	802776214068078659	0 2 12 14 90 92 168 170 180 182	744003720930
STPT(10)	802776218435412839	0 2 48 50 60 62 72 74 120 122	748371055110