Prime p₀= 958584478568867387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(20)	958582559828549951	0 72 86 150 158 162 182 210 236 242 246 252 278 306 326 330 338 402 416 488	-1918740317436
SPT(16)	958583014820046529	0 64 70 88 112 144 148 184 258 294 298 330 354 372 378 442	-1463748820858
SPT(16)	958583216070152551	0 28 42 72 82 88 130 138 190 198 240 246 256 286 300 328	-1262498714836
TPT(14)	958583338527336419	0 2 18 20 72 74 102 104 120 122 162 164 198 200	-1140041530968
STPT(10)	958583588102014877	0 2 30 32 162 164 294 296 324 326	-890466852510
STPT(10)	958584435463208039	0 2 48 50 90 92 132 134 180 182	-43105659348
SPT(16)	958584566517417503	0 6 66 80 86 96 110 146 234 270 284 294 300 314 374 380	87948550116
STPT(10)	958584569549957771	0 2 36 38 78 80 120 122 156 158	90981090384
SPT(16)	958584876053976203	0 44 54 84 90 104 120 194 240 314 330 344 350 380 390 434	397485108816
STPT(10)	958585146707426657	0 2 42 44 72 74 102 104 144 146	668138559270
SPT(16)	958585378261260353	0 24 108 164 168 200 224 258 266 300 324 356 360 416 500 524	899692392966