Prime p₀= 3027605360903214857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Groo
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	3027603910776202099	0 24 30 52 94 112 132 150 202 220 240 258 300 322 328 352	-1450127012758
STPT(10)	3027603972933599861	0 2 6 8 48 50 90 92 96 98	-1387969614996
STPT(10)	3027604099341773849	0 2 18 20 60 62 102 104 120 122	-1261561441008
SPT(16)	3027604561403056301	0 8 32 36 42 66 98 120 128 150 182 206 212 216 240 248	-799500158556
SPT(16)	3027604807212576673	0 10 24 40 46 60 106 124 150 168 214 228 234 250 264 274	-553690638184
SPT(16)	3027604948065773653	0 30 36 78 90 106 114 118 156 160 168 184 196 238 244 274	-412837441204
STPT(10)	3027605703716269721	0 2 48 50 108 110 168 170 216 218	342813054864
SPT(16)	3027605819475306523	0 4 48 58 114 124 126 186 418 478 480 490 546 556 600 604	458572091666
STPT(10)	3027606025762312847	0 2 30 32 72 74 114 116 144 146	664859097990
SPT(16)	3027606203238109457	0 20 30 74 104 144 152 200 264 312 320 360 390 434 444 464	842334894600
STPT(10)	3027607079718321509	0 2 48 50 90 92 132 134 180 182	1718815106652