Prime p₀= 2946407121511172321 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: ginga
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2946405457186618039	0 28 70 72 84 132 160 184 228 252 280 328 340 342 384 412	-1664324554282
SPT(16)	2946405489437629711	0 30 52 66 90 100 130 252 286 408 438 448 472 486 508 538	-1632073542610
SPT(16)	2946406080664989377	0 36 50 54 74 84 110 116 180 186 212 222 242 246 260 296	-1040846182944
SPT(16)	2946406224915597293	0 14 36 78 80 84 104 120 134 150 170 174 176 218 240 254	-896595575028
STPT(10)	2946406867394071091	0 2 6 8 48 50 90 92 96 98	-254117101230
TPT(14)	2946406872207912317	0 2 42 44 84 86 114 116 120 122 150 152 180 182	-249303260004
STPT(10)	2946407200476713159	0 2 42 44 90 92 138 140 180 182	78965540838
SPT(16)	2946407514010714477	0 10 22 64 66 196 204 246 280 322 330 460 462 504 516 526	392499542156
TPT(14)	2946407525555562119	0 2 60 62 78 80 102 104 120 122 252 254 270 272	404044389798
TPT(14)	2946408157199147747	0 2 12 14 30 32 54 56 72 74 150 152 162 164	1035687975426
SPT(16)	2946409363625655601	0 58 60 88 102 120 150 192 196 238 268 286 300 328 330 388	2242114483280