Prime p₀= 2568437778216668357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2568436556392317959	0 12 32 62 110 132 140 162 200 222 230 252 300 330 350 362	-1221824350398
STPT(10)	2568436746462657989	0 2 78 80 120 122 162 164 240 242	-1031754010368
SPT(16)	2568437063247612497	0 14 30 36 92 114 134 146 150 162 182 204 260 266 282 296	-714969055860
STPT(10)	2568437286159788297	0 2 42 44 72 74 102 104 144 146	-492056880060
SPT(16)	2568437623955707261	0 42 46 60 72 136 156 190 192 226 246 310 322 336 340 382	-154260961096
SPT(16)	2568437706706736833	0 48 90 106 204 238 244 316 348 420 426 460 558 574 616 664	-71509931524
SPT(16)	2568437789609151359	0 18 30 48 78 92 98 128 144 174 180 194 224 242 254 272	11392483002
STPT(10)	2568437945778969947	0 2 12 14 72 74 132 134 144 146	167562301590
SPT(16)	2568438124319443391	0 38 192 266 270 296 308 338 360 390 402 428 432 506 660 698	346102775034
SPT(16)	2568438249623632657	0 6 22 24 40 60 94 126 130 162 196 216 232 234 250 256	471406964300
SPT(16)	2568438468527860937	0 12 24 26 42 92 120 206 210 296 324 374 390 392 404 416	690311192580