Prime p₀= 2777681466486104159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2777680879530964607	0 2 30 32 72 74 114 116 144 146	-586955139552
TPT(14)	2777681070540046367	0 2 54 56 132 134 210 212 222 224 240 242 300 302	-395946057792
SPT(16)	2777681128689663421	0 12 36 40 46 58 88 102 106 120 150 162 168 172 196 208	-337796440738
SPT(16)	2777681237648251153	0 10 18 76 114 118 148 150 154 156 186 190 228 286 294 304	-228837853006
STPT(10)	2777681361042133451	0 2 6 8 48 50 90 92 96 98	-105443970708
SPT(16)	2777681450751535481	0 18 26 80 90 96 98 110 138 150 152 158 168 222 230 248	-15734568678
STPT(10)	2777681501062109027	0 2 12 14 42 44 72 74 84 86	34576004868
SPT(16)	2777681700456098599	0 52 102 114 130 154 174 232 282 340 360 384 400 412 462 514	233969994440
STPT(10)	2777682184139006411	0 2 36 38 78 80 120 122 156 158	717652902252
STPT(10)	2777682213400332827	0 2 30 32 42 44 54 56 84 86	746914228668
SPT(16)	2777682285938021897	0 26 32 36 84 110 114 134 162 182 186 212 260 264 270 296	819451917738