Prime p₀= 2712682946947347131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 178 2 178 2 58 2 (?)
a_n: 0 2 60 62 240 242 420 422 480 482
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: 482
Found by: JayPi
db: batch=82, k=10, 2 58 2 178 2

SPT(16)	2712681651328996937	0 6 20 50 84 104 120 174 206 260 276 296 330 360 374 380	-1295618350194
SPT(16)	2712682006529460571	0 12 42 58 112 126 130 162 166 198 202 216 270 286 316 328	-940417886560
SPT(16)	2712682447831892323	0 58 100 120 124 154 166 184 210 228 240 270 274 294 336 394	-499115454808
SPT(16)	2712682522700955977	0 20 44 72 84 144 152 156 170 174 182 242 254 282 306 326	-424246391154
TPT(14)	2712682718628102749	0 2 12 14 72 74 138 140 180 182 282 284 312 314	-228319244382
STPT(10)	2712682788635574449	0 2 30 32 60 62 90 92 120 122	-158311772682
STPT(10)	2712683188067921447	0 2 30 32 42 44 54 56 84 86	241120574316
SPT(16)	2712683504470028933	0 6 8 26 30 44 90 110 114 134 180 194 198 216 218 224	557522681802
SPT(16)	2712683807979583871	0 32 66 80 102 122 170 186 236 252 300 320 342 356 390 422	861032236740
SPT(16)	2712683991854573713	0 4 48 64 96 120 138 160 174 196 214 238 270 286 330 334	1044907226582
SPT(16)	2712684278395495753	0 40 46 114 160 180 198 208 216 226 244 264 310 378 384 424	1331448148622