Prime p₀= 1233227047079141687 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1233226131987484559	0 8 12 14 30 42 44 74 78 108 110 122 138 140 144 152	-915091657128
STPT(10)	1233226158529381769	0 2 18 20 30 32 42 44 60 62	-888549759918
SPT(16)	1233226254665672131	0 22 46 100 118 228 238 252 286 300 310 420 438 492 516 538	-792413469556
SPT(16)	1233226485371032409	0 78 80 98 138 164 174 230 252 308 318 344 384 402 404 482	-561708109278
SPT(16)	1233226490468375357	0 12 84 92 104 120 152 174 182 204 236 252 264 272 344 356	-556610766330
SPT(16)	1233226826809540649	0 32 42 144 150 158 182 188 204 210 234 242 248 350 360 392	-220269601038
SPT(16)	1233227635109656489	0 30 72 78 88 90 102 130 132 160 172 174 184 190 232 262	588030514802
TPT(14)	1233228002030939879	0 2 18 20 30 32 108 110 150 152 228 230 240 242	954951798192
STPT(12)	1233228002030939897	0 2 12 14 90 92 132 134 210 212 222 224	954951798210
SPT(16)	1233228106043316763	0 28 58 76 100 108 120 130 174 184 196 204 228 246 276 304	1058964175076
SPT(13)	1233228319320710533	0 18 90 156 168 216 228 240 288 300 366 438 456	1272241568846