Prime p₀= 1097713743001863269 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: Theadalus
db: batch=76, k=10, 2 40 2 16 2

TPT(14)	1097712924278488541	0 2 6 8 36 38 126 128 168 170 240 242 258 260	-818723374728
STPT(10)	1097712958020748841	0 2 36 38 78 80 120 122 156 158	-784981114428
STPT(10)	1097713057309769777	0 2 30 32 60 62 90 92 120 122	-685692093492
STPT(10)	1097713091965531157	0 2 30 32 42 44 54 56 84 86	-651036332112
STPT(10)	1097713143469891211	0 2 6 8 48 50 90 92 96 98	-599531972058
SPT(16)	1097713657302917783	0 6 38 50 78 90 104 108 146 150 164 176 204 216 248 254	-85698945486
SPT(16)	1097713818327026479	0 12 42 52 54 90 112 118 144 150 172 208 210 220 250 262	75325163210
SPT(16)	1097714334926854753	0 6 54 78 94 106 108 120 154 166 168 180 196 220 268 274	591924991484
STPT(10)	1097714458197241499	0 2 18 20 30 32 42 44 60 62	715195378230
TPT(14)	1097714485387107461	0 2 96 98 156 158 168 170 186 188 210 212 228 230	742385244192
STPT(10)	1097714534722871027	0 2 30 32 42 44 54 56 84 86	791721007758