Prime p₀= 2115129074035447427 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2115127942807360301	0 2 6 8 18 20 30 32 36 38	-1131228087126
SPT(16)	2115128129317354381	0 48 76 138 168 198 222 250 258 286 310 340 370 432 460 508	-944718093046
TPT(14)	2115128704893483197	0 2 42 44 84 86 174 176 204 206 240 242 252 254	-369141964230
SPT(16)	2115128792754764671	0 10 22 40 66 70 82 100 132 150 162 166 192 210 222 232	-281280682756
STPT(10)	2115128813729601029	0 2 42 44 90 92 138 140 180 182	-260305846398
SPT(16)	2115128878053410231	0 8 18 20 26 36 42 62 96 116 122 132 138 140 150 158	-195982037196
SPT(16)	2115129221247089549	0 80 110 132 134 152 168 182 270 284 300 318 320 342 372 452	147211642122
SPT(16)	2115129560892721853	0 18 54 56 60 68 74 78 116 120 126 134 138 140 176 194	486857274426
SPT(16)	2115129680368910677	0 10 24 64 66 94 114 156 160 202 222 250 252 292 306 316	606333463250
TPT(14)	2115129911649400697	0 2 60 62 84 86 162 164 174 176 270 272 330 332	837613953270
SPT(16)	2115130070094689509	0 28 54 88 144 168 234 262 270 298 364 388 444 478 504 532	996059242082