Prime p₀= 2756813831191787699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Roadranner
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	2756812542839456741	0 2 6 8 48 50 90 92 96 98	-1288352330958
STPT(10)	2756813149151279129	0 2 18 20 30 32 42 44 60 62	-682040508570
STPT(10)	2756813180613568589	0 2 42 44 60 62 78 80 120 122	-650578219110
STPT(10)	2756813228972557421	0 2 6 8 18 20 30 32 36 38	-602219230278
SPT(16)	2756813455982046463	0 4 16 28 30 66 100 136 168 204 238 274 276 288 300 304	-375209741236
STPT(10)	2756813506631262887	0 2 12 14 72 74 132 134 144 146	-324560524812
SPT(16)	2756813841559393661	0 26 30 38 56 66 86 90 128 132 152 162 180 188 192 218	10367605962
SPT(16)	2756813929728934247	0 14 20 56 90 156 176 186 284 294 314 380 414 450 456 470	98537146548
TPT(14)	2756814337872831239	0 2 12 14 48 50 120 122 150 152 222 224 252 254	506681043540
SPT(18)	2756815060013237383	0 54 150 156 228 238 264 294 300 304 310 340 366 376 448 454 550 604	1228821449684
SPT(16)	2756815245796198451	0 96 102 116 128 138 140 152 186 198 200 210 222 236 242 338	1414604410752