Prime p₀= 1414646257415737319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 136 2 136 2 40 2 (?)
a_n: 0 2 42 44 180 182 318 320 360 362
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: 362
Found by: Theadalus
db: batch=78, k=10, 2 40 2 136 2

SPT(20)	1414644124073906149	0 4 40 42 58 78 84 88 112 130 222 240 264 268 274 294 310 312 348 352	-2133341831170
SPT(16)	1414644224768537149	0 30 88 90 118 154 160 184 228 252 258 294 322 324 382 412	-2032647200170
SPT(16)	1414644236491948019	0 54 78 98 104 132 134 180 182 228 230 258 264 284 308 362	-2020923789300
STPT(10)	1414644824361805217	0 2 24 26 42 44 60 62 84 86	-1433053932102
STPT(10)	1414645650578647769	0 2 42 44 60 62 78 80 120 122	-606837089550
SPT(16)	1414645755549354287	0 32 50 72 126 134 192 222 224 254 312 320 374 396 414 446	-501866383032
STPT(10)	1414646422450655237	0 2 30 32 42 44 54 56 84 86	165034917918
SPT(16)	1414646452484390443	0 28 40 96 118 120 138 160 246 268 286 288 310 366 378 406	195068653124
SPT(16)	1414646532940025323	0 54 100 120 138 144 186 196 198 208 250 256 274 294 340 394	275524288004
STPT(10)	1414646695544747627	0 2 30 32 42 44 54 56 84 86	438129010308
SPT(16)	1414646916533188133	0 6 56 90 98 164 180 284 300 404 420 486 494 528 578 584	659117450814