Prime p₀= 4365230027951216519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Autofuzzy
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4365229121560313119	0 22 58 88 100 112 114 142 150 178 180 192 204 234 270 292	-906390903400
STPT(10)	4365229218967476029	0 2 18 20 60 62 102 104 120 122	-808983740490
STPT(10)	4365229358352991697	0 2 84 86 162 164 240 242 324 326	-669598224822
SPT(16)	4365229486198639517	0 20 26 42 50 54 96 116 120 140 182 186 194 210 216 236	-541752577002
SPT(16)	4365229652297082461	0 2 12 18 32 72 90 98 102 110 128 168 182 188 198 200	-375654134058
SPT(16)	4365230012643816689	0 50 60 74 80 92 104 158 174 228 240 252 258 272 282 332	-15307399830
STPT(10)	4365230571923932721	0 2 6 8 48 50 90 92 96 98	543972716202
STPT(10)	4365230871577726571	0 2 36 38 78 80 120 122 156 158	843626510052
TPT(14)	4365231197739842237	0 2 120 122 150 152 162 164 222 224 264 266 300 302	1169788625718
SPT(16)	4365231206420592787	0 10 24 52 60 66 90 112 174 196 220 226 234 262 276 286	1178469376268
SPT(13)	4365231844409901287	0 60 96 102 132 162 216 270 300 330 336 372 432	1816458684768