Prime p₀= 2168446228079516657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2168443313723546941	0 12 42 70 82 90 130 132 160 162 202 210 222 250 280 292	-2914355969716
STPT(10)	2168443554897656081	0 2 90 92 108 110 126 128 216 218	-2673181860576
SPT(13)	2168444432604050771	0 18 42 60 102 108 150 192 198 240 258 282 300	-1795475465886
STPT(10)	2168444453116823639	0 2 18 20 30 32 42 44 60 62	-1774962693018
SPT(16)	2168445500410641563	0 14 60 66 156 168 224 248 276 300 356 368 458 464 510 524	-727668875094
SPT(16)	2168445502403937347	0 42 44 86 126 170 236 240 356 360 426 470 510 552 554 596	-725675579310
SPT(16)	2168446263904366997	0 20 42 56 92 102 122 132 194 204 224 234 270 284 306 326	35824850340
TPT(16)	2168446282905557957	0 2 12 14 24 26 150 152 162 164 222 224 240 242 252 254	54826041300
STPT(10)	2168446735683967787	0 2 42 44 72 74 102 104 144 146	507604451130
STPT(10)	2168446830726653171	0 2 30 32 78 80 126 128 156 158	602647136514
SPT(16)	2168446993415030327	0 6 42 54 62 80 96 110 126 140 156 174 182 194 230 236	765335513670