Prime p₀= 2776223861711408567 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)	2776222884458693597	0 2 42 44 72 74 102 104 144 146	-977252714970
SPT(16)	2776223128925731157	0 50 60 66 122 164 180 186 200 206 222 264 320 326 336 386	-732785677410
SPT(16)	2776223147847631327	0 52 76 82 84 112 130 132 214 216 234 262 264 270 294 346	-713863777240
STPT(10)	2776223382412513181	0 2 36 38 78 80 120 122 156 158	-479298895386
SPT(16)	2776223470601092619	0 20 24 38 72 84 132 134 198 200 248 260 294 308 312 332	-391110315948
SPT(16)	2776223729483404241	0 18 30 72 90 96 98 138 200 240 242 248 266 308 320 338	-132228004326
SPT(16)	2776224010928676727	0 46 72 82 144 160 196 216 220 240 276 292 354 364 390 436	149217268160
STPT(10)	2776224158531269007	0 2 42 44 72 74 102 104 144 146	296819860440
SPT(16)	2776224628769511149	0 18 20 44 48 62 68 90 152 174 180 194 198 222 224 242	767058102582
SPT(16)	2776224737479673351	0 48 86 98 102 152 156 180 188 212 216 266 270 282 320 368	875768264784
STPT(10)	2776224886373492927	0 2 42 44 102 104 162 164 204 206	1024662084360