Prime p₀= 2776224158531269007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2776223147847631327	0 52 76 82 84 112 130 132 214 216 234 262 264 270 294 346	-1010683637680
STPT(10)	2776223382412513181	0 2 36 38 78 80 120 122 156 158	-776118755826
SPT(16)	2776223470601092619	0 20 24 38 72 84 132 134 198 200 248 260 294 308 312 332	-687930176388
SPT(16)	2776223729483404241	0 18 30 72 90 96 98 138 200 240 242 248 266 308 320 338	-429047864766
STPT(10)	2776223861711408567	0 2 30 32 42 44 54 56 84 86	-296819860440
SPT(16)	2776224010928676727	0 46 72 82 144 160 196 216 220 240 276 292 354 364 390 436	-147602592280
SPT(16)	2776224628769511149	0 18 20 44 48 62 68 90 152 174 180 194 198 222 224 242	470238242142
SPT(16)	2776224737479673351	0 48 86 98 102 152 156 180 188 212 216 266 270 282 320 368	578948404344
STPT(10)	2776224886373492927	0 2 42 44 102 104 162 164 204 206	727842223920
SPT(20)	2776224922067838151	0 36 40 42 58 70 72 88 96 102 166 172 180 196 198 210 226 228 232 268	763536569144
STPT(10)	2776225297897287791	0 2 36 38 78 80 120 122 156 158	1139366018784