Prime p₀= 1030564957812540497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(20)	1030564480341564659	0 8 12 18 74 110 150 164 204 252 260 308 348 362 402 438 494 500 504 512	-477470975838
STPT(10)	1030564483746443489	0 2 18 20 30 32 42 44 60 62	-474066097008
STPT(10)	1030564678183192037	0 2 30 32 72 74 114 116 144 146	-279629348460
SPT(16)	1030564679659659647	0 32 90 132 174 192 200 206 210 216 224 242 284 326 384 416	-278152880850
SPT(16)	1030564684309376107	0 22 34 52 72 114 132 136 180 184 202 244 264 282 294 316	-273503164390
SPT(16)	1030564942647031763	0 6 24 26 66 80 86 98 156 168 174 188 228 230 248 254	-15165508734
STPT(10)	1030564958642971067	0 2 30 32 42 44 54 56 84 86	830430570
SPT(16)	1030565376906963589	0 30 54 58 84 90 108 124 168 184 202 208 234 238 262 292	419094423092
STPT(10)	1030565503884375629	0 2 18 20 30 32 42 44 60 62	546071835132
STPT(10)	1030566055946612201	0 2 30 32 78 80 126 128 156 158	1098134071704
STPT(10)	1030566209251875389	0 2 30 32 60 62 90 92 120 122	1251439334892