Prime p₀= 2777681501062109027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2777681070540046367	0 2 54 56 132 134 210 212 222 224 240 242 300 302	-430522062660
SPT(16)	2777681128689663421	0 12 36 40 46 58 88 102 106 120 150 162 168 172 196 208	-372372445606
SPT(16)	2777681237648251153	0 10 18 76 114 118 148 150 154 156 186 190 228 286 294 304	-263413857874
STPT(10)	2777681361042133451	0 2 6 8 48 50 90 92 96 98	-140019975576
SPT(16)	2777681450751535481	0 18 26 80 90 96 98 110 138 150 152 158 168 222 230 248	-50310573546
STPT(10)	2777681466486104159	0 2 42 44 60 62 78 80 120 122	-34576004868
SPT(16)	2777681700456098599	0 52 102 114 130 154 174 232 282 340 360 384 400 412 462 514	199393989572
STPT(10)	2777682184139006411	0 2 36 38 78 80 120 122 156 158	683076897384
STPT(10)	2777682213400332827	0 2 30 32 42 44 54 56 84 86	712338223800
SPT(16)	2777682285938021897	0 26 32 36 84 110 114 134 162 182 186 212 260 264 270 296	784875912870
STPT(10)	2777682430455450977	0 2 30 32 42 44 54 56 84 86	929393341950