Prime p₀= 2566730586926866427 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: JonS
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2566730002919768137	0 4 22 60 124 126 166 232 264 330 370 372 436 474 492 496	-584007098290
SPT(16)	2566730049083126081	0 18 38 42 72 78 96 110 168 182 200 206 236 240 260 278	-537843740346
SPT(16)	2566730065201736593	0 54 70 78 96 120 144 148 186 190 214 238 256 264 280 334	-521725129834
SPT(16)	2566730125608920191	0 12 16 76 90 96 100 112 126 138 142 148 162 222 226 238	-461317946236
SPT(16)	2566730133402600707	0 2 12 36 86 126 132 152 324 344 350 390 440 464 474 476	-453524265720
SPT(16)	2566730195541766999	0 28 40 64 114 148 150 174 184 208 210 244 294 318 330 358	-391385099428
SPT(16)	2566730637738039881	0 20 30 38 42 66 108 110 168 170 212 236 240 248 258 278	50811173454
STPT(10)	2566730836065886661	0 2 78 80 108 110 138 140 216 218	249139020234
STPT(12)	2566730841442279247	0 2 24 26 114 116 150 152 240 242 264 266	254515412820
TPT(14)	2566731619637723897	0 2 72 74 84 86 144 146 204 206 210 212 282 284	1032710857470
STPT(10)	2566731785746577789	0 2 18 20 30 32 42 44 60 62	1198819711362