Prime p₀= 2159230523972011517 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: rlacr
db: batch=81, k=10, 2 22 2 16 2

SPT(13)	2159228911141592317	0 54 60 66 84 150 180 210 276 294 300 306 360	-1612830419200
SPT(16)	2159229285550712983	0 46 48 124 138 154 186 208 216 238 270 286 300 376 378 424	-1238421298534
SPT(16)	2159229768843467087	0 32 36 50 56 66 176 186 206 216 326 336 342 356 360 392	-755128544430
SPT(16)	2159229818245484779	0 28 54 64 72 114 120 174 238 292 298 340 348 358 384 412	-705726526738
STPT(10)	2159230016691007451	0 2 36 38 78 80 120 122 156 158	-507281004066
SPT(16)	2159230118159965603	0 64 78 84 114 120 148 214 240 306 334 340 370 376 390 454	-405812045914
TPT(14)	2159230846033501481	0 2 48 50 138 140 246 248 288 290 360 362 390 392	322061489964
STPT(10)	2159230978519804799	0 2 30 32 120 122 210 212 240 242	454547793282
TPT(14)	2159231245834444631	0 2 126 128 168 170 306 308 330 332 378 380 390 392	721862433114
SPT(16)	2159231262474280469	0 44 60 102 144 150 194 200 264 270 314 320 362 404 420 464	738502268952
STPT(10)	2159231302520752709	0 2 18 20 30 32 42 44 60 62	778548741192