Prime p₀= 2147619524111846969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	2147618935669652719	0 4 18 22 54 70 84 138 154 208 222 238 270 274 288 292	-588442194250
STPT(10)	2147618945128043171	0 2 36 38 78 80 120 122 156 158	-578983803798
SPT(16)	2147618977546339813	0 28 40 54 66 84 106 124 150 168 190 208 220 234 246 274	-546565507156
SPT(16)	2147619018514218079	0 48 108 120 130 132 138 162 178 202 208 210 220 232 292 340	-505597628890
TPT(14)	2147619346493652881	0 2 36 38 78 80 330 332 348 350 378 380 390 392	-177618194088
STPT(10)	2147619498767486207	0 2 90 92 102 104 114 116 204 206	-25344360762
SPT(16)	2147619544185615757	0 22 34 52 76 102 124 126 130 132 154 180 204 222 234 256	20073768788
STPT(10)	2147620361604959201	0 2 36 38 78 80 120 122 156 158	837493112232
STPT(10)	2147620558783853981	0 2 36 38 78 80 120 122 156 158	1034672007012
SPT(16)	2147620630465585237	0 4 34 36 54 84 100 102 184 186 202 232 250 252 282 286	1106353738268
SPT(16)	2147620687736617579	0 12 22 54 78 100 160 184 258 282 342 364 388 420 430 442	1163624770610