Prime p₀= 1296898928744926019 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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1296897859312207237	0 12 52 72 94 126 180 184 192 196 250 282 304 324 364 376	-1069432718782
STPT(10)	1296897931637831987	0 2 90 92 102 104 114 116 204 206	-997107094032
SPT(16)	1296898435434588923	0 6 30 54 68 84 110 114 140 144 170 186 200 224 248 254	-493310337096
STPT(10)	1296898780472010011	0 2 6 8 18 20 30 32 36 38	-148272916008
STPT(10)	1296898807775446661	0 2 30 32 60 62 90 92 120 122	-120969479358
STPT(10)	1296898851118488881	0 2 6 8 48 50 90 92 96 98	-77626437138
SPT(16)	1296898956766155593	0 6 48 78 86 120 134 158 186 210 224 258 266 296 338 344	28021229574
SPT(16)	1296899141646771281	0 2 42 68 86 92 126 132 176 182 216 222 240 266 306 308	212901845262
SPT(13)	1296899562812054323	0 30 36 78 90 96 168 240 246 258 300 306 336	634067128304
STPT(10)	1296899753394244157	0 2 54 56 72 74 90 92 144 146	824649318138
SPT(16)	1296899885509355279	0 14 50 60 62 104 152 168 194 210 258 300 302 312 348 362	956764429260