Prime p₀= 1377270622737008339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: emoga
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1377269879500939747	0 12 42 70 166 180 214 256 270 312 346 360 456 484 514 526	-743236068592
SPT(16)	1377270191862548261	0 42 48 78 90 98 108 116 192 200 210 218 230 260 266 308	-430874460078
SPT(16)	1377270225404091533	0 6 14 36 50 54 78 84 110 116 140 144 158 180 188 194	-397332916806
SPT(16)	1377270313006152703	0 40 48 64 78 88 106 144 190 228 246 256 270 286 294 334	-309730855636
STPT(10)	1377270429455857367	0 2 12 14 72 74 132 134 144 146	-193281150972
SPT(16)	1377270556051564871	0 30 56 92 120 132 140 146 156 162 170 182 210 246 272 302	-66685443468
SPT(16)	1377270657723662453	0 8 14 36 66 90 98 108 146 156 164 188 218 240 246 254	34986654114
STPT(10)	1377270705230433437	0 2 30 32 72 74 114 116 144 146	82493425098
STPT(10)	1377270761574578639	0 2 18 20 30 32 42 44 60 62	138837570300
STPT(12)	1377270954416221589	0 2 18 20 30 32 60 62 72 74 90 92	331679213250
SPT(16)	1377271010696938381	0 100 148 150 168 238 250 282 358 390 402 472 490 492 540 640	387959930042