Prime p₀= 957414622450835597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

TPT(14)	957413635961804519	0 2 108 110 192 194 252 254 288 290 372 374 390 392	-986489031078
SPT(16)	957413802302447141	0 80 92 116 170 176 198 210 278 290 312 318 372 396 408 488	-820148388456
SPT(16)	957414134166804719	0 18 32 60 182 252 264 290 342 368 380 450 572 600 614 632	-488284030878
SPT(16)	957414213316292759	0 2 20 24 54 60 68 104 108 144 152 158 188 192 210 212	-409134542838
SPT(16)	957414386410753291	0 12 16 42 88 100 102 126 142 166 168 180 226 252 256 268	-236040082306
SPT(16)	957414563427488303	0 8 18 44 54 86 98 126 128 156 168 200 210 236 246 254	-59023347294
SPT(16)	957414840784085083	0 4 28 46 138 156 168 180 184 196 208 226 318 336 360 364	218333249486
SPT(16)	957414927825338933	0 38 48 104 126 140 168 188 216 236 264 278 300 356 366 404	305374503336
STPT(10)	957415096353717059	0 2 42 44 60 62 78 80 120 122	473902881462
SPT(16)	957415613977005629	0 8 14 20 54 78 98 102 140 144 164 188 222 228 234 242	991526170032
STPT(12)	957415672379863427	0 2 12 14 42 44 90 92 120 122 132 134	1049929027830