Prime p₀= 2523718432946582537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2523716415309675917	0 2 90 92 114 116 144 146 204 206 210 212 300 302	-2017636906620
SPT(16)	2523717406523326523	0 6 24 54 66 80 96 138 266 308 324 338 350 380 398 404	-1026423256014
SPT(16)	2523717652761988867	0 42 60 94 100 130 142 150 274 282 294 324 330 364 382 424	-780184593670
STPT(10)	2523717813990500327	0 2 54 56 72 74 90 92 144 146	-618956082210
STPT(10)	2523718059535831517	0 2 60 62 72 74 84 86 144 146	-373410751020
SPT(16)	2523718414563591367	0 24 42 96 114 126 136 184 192 240 250 262 280 334 352 376	-18382991170
STPT(10)	2523718586683810907	0 2 30 32 42 44 54 56 84 86	153737228370
SPT(16)	2523718853341154453	0 14 20 74 90 116 134 140 144 150 168 194 210 264 270 284	420394571916
TPT(14)	2523719127146514989	0 2 30 32 42 44 102 104 150 152 228 230 240 242	694199932452
TPT(14)	2523719454418988699	0 2 12 14 18 20 108 110 210 212 252 254 282 284	1021472406162
SPT(13)	2523719650663461671	0 36 72 102 120 126 156 186 192 210 240 276 312	1217716879134