Prime p₀= 798830590807379927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: marsinph
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	798828979764577427	0 2 12 14 42 44 72 74 84 86	-1611042802500
SPT(16)	798829382158838119	0 42 48 78 102 178 234 264 328 358 414 490 514 544 550 592	-1208648541808
SPT(16)	798829653902025679	0 10 24 30 72 94 112 120 154 162 180 202 244 250 264 274	-936905354248
SPT(16)	798830096387703343	0 6 10 28 54 78 118 120 124 126 166 190 216 234 238 244	-494419676584
STPT(10)	798830213251195427	0 2 30 32 42 44 54 56 84 86	-377556184500
SPT(16)	798830299665219407	0 20 24 36 92 104 122 134 192 204 222 234 290 302 306 326	-291142160520
STPT(10)	798830822677186301	0 2 30 32 60 62 90 92 120 122	231869806374
SPT(16)	798830855981423381	0 2 12 30 56 86 90 132 140 182 186 216 242 260 270 272	265174043454
SPT(16)	798831504621064247	0 56 60 62 144 240 246 270 296 320 326 422 504 506 510 566	913813684320
SPT(16)	798831539358866963	0 8 20 26 36 66 96 110 174 188 218 248 258 264 276 284	948551487036
STPT(10)	798832084687147097	0 2 30 32 72 74 114 116 144 146	1493879767170