Prime p₀= 247777998000970907 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: EarlyBird@Zircons
db: batch=69, k=10, 2 28 2 10 2

SPT(14)	247777893131989189	0 72 112 118 124 162 198 214 250 288 294 300 340 412	-104868981718
SPT(14)	247777921868007053	0 20 54 68 74 78 98 186 206 210 216 230 264 284	-76132963854
TPT(12)	247777937351592497	0 2 54 56 90 92 174 176 210 212 234 236	-60649378410
SPT(14)	247777955368248673	0 46 58 60 96 114 120 124 130 148 184 186 198 244	-42632722234
SPT(14)	247777969755084047	0 26 30 42 60 80 90 122 132 152 170 182 186 212	-28245886860
SPT(14)	247777987086433057	0 4 60 196 226 246 256 294 304 324 354 490 546 550	-10914537850
TPT(12)	247778017455178451	0 2 36 38 66 68 96 98 138 140 150 152	19454207544
SPT(14)	247778049606243257	0 24 36 50 56 66 72 134 140 150 156 170 182 206	51605272350
SPT(14)	247778078276532079	0 28 40 42 64 78 108 154 184 198 220 222 234 262	80275561172
SPT(14)	247778081139526361	0 30 48 50 68 72 90 98 116 120 138 140 158 188	83138555454
TPT(12)	247778085960559619	0 2 90 92 108 110 132 134 150 152 168 170	87959588712