Prime p₀= 2802320609926641239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2802319502204602271	0 20 140 168 180 206 246 266 300 320 360 386 398 426 546 566	-1107722038968
STPT(10)	2802319963274122727	0 2 60 62 102 104 144 146 204 206	-646652518512
SPT(16)	2802320137263340063	0 10 66 186 208 216 238 258 298 318 340 348 370 490 546 556	-472663301176
SPT(16)	2802320175632112173	0 24 36 56 86 90 98 104 150 156 164 168 198 218 230 254	-434294529066
STPT(10)	2802320178984029321	0 2 36 38 78 80 120 122 156 158	-430942611918
SPT(16)	2802320180641053797	0 30 32 60 72 74 162 170 174 182 270 272 284 312 314 344	-429285587442
TPT(14)	2802320896944082859	0 2 42 44 48 50 72 74 78 80 90 92 120 122	287017441620
STPT(10)	2802320959450323299	0 2 18 20 30 32 42 44 60 62	349523682060
STPT(10)	2802321181729128971	0 2 6 8 18 20 30 32 36 38	571802487732
SPT(16)	2802321286917392683	0 48 60 94 114 130 148 150 154 156 174 190 210 244 256 304	676990751444
SPT(16)	2802321286925279761	0 22 46 52 70 82 162 178 180 196 276 288 306 312 336 358	676998638522