Prime p₀= 2777680049169511691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2777679056625269569	0 42 192 258 264 274 300 322 330 352 378 388 394 460 610 652	-992544242122
SPT(16)	2777679130627934513	0 14 26 30 36 56 78 84 110 116 138 158 164 168 180 194	-918541577178
STPT(10)	2777679163597918607	0 2 30 32 42 44 54 56 84 86	-885571593084
SPT(18)	2777679203681020433	0 14 36 44 60 86 98 116 120 134 138 156 168 194 210 218 240 254	-845488491258
STPT(10)	2777679320291889437	0 2 54 56 72 74 90 92 144 146	-728877622254
TPT(14)	2777679419780359187	0 2 30 32 84 86 120 122 144 146 174 176 210 212	-629389152504
STPT(10)	2777680610272678079	0 2 12 14 30 32 48 50 60 62	561103166388
STPT(10)	2777680860327717317	0 2 30 32 42 44 54 56 84 86	811158205626
STPT(10)	2777680879530964607	0 2 30 32 72 74 114 116 144 146	830361452916
TPT(14)	2777681070540046367	0 2 54 56 132 134 210 212 222 224 240 242 300 302	1021370534676
SPT(16)	2777681128689663421	0 12 36 40 46 58 88 102 106 120 150 162 168 172 196 208	1079520151730