Prime p₀= 2768621374451125979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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-2W]Kurzer
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2768620561624674269	0 2 42 44 60 62 78 80 120 122	-812826451710
STPT(10)	2768620826807083217	0 2 12 14 72 74 132 134 144 146	-547644042762
SPT(16)	2768620870810493927	0 2 30 54 62 96 114 134 222 242 260 294 302 326 354 356	-503640632052
SPT(16)	2768621067009903359	0 8 20 30 42 62 132 140 192 200 270 290 302 312 324 332	-307441222620
STPT(10)	2768621215317504299	0 2 18 20 30 32 42 44 60 62	-159133621680
SPT(16)	2768621363659193201	0 18 56 66 108 110 132 152 216 236 258 260 302 312 350 368	-10791932778
SPT(16)	2768621508567928381	0 46 78 112 130 186 190 202 216 228 232 288 306 340 372 418	134116802402
SPT(16)	2768621706927110927	0 2 54 72 84 104 116 146 180 210 222 242 254 272 324 326	332475984948
STPT(10)	2768622038223401441	0 2 6 8 48 50 90 92 96 98	663772275462
SPT(16)	2768622123927047813	0 8 18 54 90 110 120 168 236 284 294 314 350 386 396 404	749475921834
SPT(16)	2768622199949971451	0 6 42 56 72 86 98 102 116 120 132 146 162 176 212 218	825498845472