Prime p₀= 969028763155520057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=76, k=10, 2 10 2 28 2

SPT(16)	969027958538166073	0 16 30 46 54 66 96 136 198 238 268 280 288 304 318 334	-804617353984
SPT(16)	969027968789481869	0 8 60 182 210 228 248 258 284 294 314 332 360 482 534 542	-794366038188
SPT(16)	969027994392292711	0 10 60 88 100 120 126 142 156 172 178 198 210 238 288 298	-768763227346
TPT(14)	969028300101727667	0 2 72 74 102 104 114 116 174 176 294 296 312 314	-463053792390
STPT(10)	969028553504896457	0 2 60 62 72 74 84 86 144 146	-209650623600
SPT(16)	969028646981655301	0 30 66 88 100 108 198 222 226 250 340 348 360 382 418 448	-116173864756
SPT(16)	969028863811709279	0 18 24 38 60 80 98 138 194 234 252 272 294 308 314 332	100656189222
TPT(14)	969028995101105579	0 2 12 14 18 20 42 44 60 62 90 92 210 212	231945585522
STPT(12)	969029050297448549	0 2 78 80 90 92 168 170 180 182 258 260	287141928492
STPT(10)	969029117384793341	0 2 30 32 60 62 90 92 120 122	354229273284
STPT(10)	969029209884360179	0 2 18 20 60 62 102 104 120 122	446728840122