Prime p₀= 2294024638744572059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Ben
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2294023065370916219	0 2 18 20 30 32 42 44 60 62	-1573373655840
SPT(16)	2294023071280441609	0 34 40 54 94 114 124 132 142 150 160 180 220 234 240 274	-1567464130450
STPT(10)	2294024067286464437	0 2 12 14 42 44 72 74 84 86	-571458107622
SPT(16)	2294024185594639363	0 4 54 76 106 178 180 186 238 244 246 318 348 370 420 424	-453149932696
SPT(16)	2294024209990985939	0 12 20 78 102 108 164 168 284 288 344 350 374 432 440 452	-428753586120
SPT(16)	2294024436750232181	0 8 20 32 90 102 146 150 158 162 206 218 276 288 300 308	-201994339878
SPT(16)	2294024719511690801	0 20 56 72 186 212 236 258 320 342 366 392 506 522 558 578	80767118742
SPT(16)	2294024726210239259	0 24 30 72 80 98 108 164 198 254 264 282 290 332 338 362	87465667200
STPT(10)	2294024728615031849	0 2 48 50 90 92 132 134 180 182	89870459790
SPT(16)	2294024803205874589	0 100 120 142 180 198 208 258 274 324 334 352 390 412 432 532	164461302530
STPT(10)	2294025251166533627	0 2 12 14 42 44 72 74 84 86	612421961568