Prime p₀= 1253027546085946427 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1253027034956447119	0 12 18 22 78 154 160 178 204 222 228 304 360 364 370 382	-511129499308
STPT(10)	1253027142145743059	0 2 18 20 30 32 42 44 60 62	-403940203368
SPT(16)	1253027151635522917	0 42 70 82 136 142 150 154 162 166 174 180 234 246 274 316	-394450423510
STPT(10)	1253027156339432699	0 2 78 80 120 122 162 164 240 242	-389746513728
STPT(10)	1253027329394932709	0 2 48 50 60 62 72 74 120 122	-216691013718
SPT(16)	1253027522580101183	0 6 60 68 86 110 116 138 188 210 216 240 258 266 320 326	-23505845244
SPT(16)	1253027720158737203	0 38 116 140 150 206 228 246 248 266 288 344 354 378 456 494	174072790776
SPT(16)	1253027830516740871	0 36 40 52 76 88 196 246 262 312 420 432 456 468 472 508	284430794444
SPT(16)	1253027915734337707	0 40 42 66 72 96 112 154 222 264 280 304 310 334 336 376	369648391280
SPT(16)	1253028264376229723	0 26 44 84 104 110 120 144 170 194 204 210 230 270 288 314	718290283296
STPT(10)	1253028473579547407	0 2 30 32 42 44 54 56 84 86	927493600980