Prime p₀= 2776338259262494481 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2776337123666883851	0 12 72 128 152 156 176 182 216 222 242 246 270 326 386 398	-1135595610630
STPT(12)	2776337213125732349	0 2 30 32 42 44 78 80 90 92 120 122	-1046136762132
SPT(13)	2776337282313874571	0 6 12 36 90 186 216 246 342 396 420 426 432	-976948619910
SPT(16)	2776337469982457099	0 14 24 32 38 80 102 138 164 200 222 264 270 278 288 302	-789280037382
STPT(10)	2776337789011554767	0 2 24 26 42 44 60 62 84 86	-470250939714
STPT(10)	2776338169597874237	0 2 30 32 72 74 114 116 144 146	-89664620244
SPT(16)	2776338855460525583	0 8 54 60 90 170 194 254 270 330 354 434 464 470 516 524	596198031102
SPT(16)	2776338905017827101	0 18 32 60 78 98 120 122 138 140 162 182 200 228 242 260	645755332620
SPT(16)	2776339028323341947	0 6 14 26 90 104 110 144 212 246 252 266 330 342 350 356	769060847466
SPT(16)	2776339218528469459	0 22 34 60 64 78 84 88 204 208 214 228 232 258 270 292	959265974978
STPT(10)	2776339658587450799	0 2 18 20 30 32 42 44 60 62	1399324956318