Prime p₀= 2566822579025171651 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2566821914648186081	0 12 50 56 102 182 258 278 300 320 396 476 522 528 566 578	-664376985570
SPT(16)	2566821963964653277	0 10 72 94 100 124 130 154 210 234 240 264 270 292 354 364	-615060518374
SPT(13)	2566822227162763813	0 18 48 60 90 144 174 204 258 288 300 330 348	-351862407838
SPT(16)	2566822356516556979	0 8 12 24 38 42 54 74 78 98 110 114 128 140 144 152	-222508614672
STPT(10)	2566822386970254617	0 2 12 14 42 44 72 74 84 86	-192054917034
SPT(16)	2566822418201772587	0 50 86 96 114 126 134 156 314 336 344 356 374 384 420 470	-160823399064
STPT(10)	2566822917317480579	0 2 18 20 30 32 42 44 60 62	338292308928
TPT(14)	2566822936245452537	0 2 30 32 42 44 144 146 174 176 204 206 240 242	357220280886
STPT(10)	2566823100556073927	0 2 12 14 42 44 72 74 84 86	521530902276
STPT(10)	2566823472576492341	0 2 36 38 78 80 120 122 156 158	893551320690
SPT(16)	2566823505522712523	0 6 20 98 120 150 218 230 324 336 404 434 456 534 548 554	926497540872