Prime p₀= 2796219765887081717 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2796218268263036051	0 2 30 32 120 122 210 212 240 242	-1497624045666
STPT(10)	2796218958203674649	0 2 48 50 60 62 72 74 120 122	-807683407068
SPT(16)	2796219029226033347	0 26 32 60 62 66 72 84 212 224 230 234 236 264 270 296	-736661048370
TPT(14)	2796219166671735041	0 2 30 32 66 68 150 152 228 230 276 278 306 308	-599215346676
STPT(10)	2796219291267154271	0 2 30 32 78 80 126 128 156 158	-474619927446
STPT(10)	2796219504242155601	0 2 30 32 78 80 126 128 156 158	-261644926116
SPT(16)	2796219767170678679	0 8 18 50 62 78 140 164 228 252 314 330 342 374 384 392	1283596962
SPT(16)	2796220063277701391	0 30 48 60 80 86 116 122 126 132 162 168 188 200 218 248	297390619674
SPT(16)	2796220284351928349	0 12 38 42 84 164 222 264 278 320 378 458 500 504 530 542	518464846632
SPT(16)	2796220297544109277	0 4 84 90 100 112 136 142 144 150 174 186 196 202 282 286	531657027560
STPT(10)	2796220778253231149	0 2 18 20 30 32 42 44 60 62	1012366149432