Prime p₀= 4123153881785286329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [AF] Kalianthys
db: batch=85, k=10, 2 16 2 40 2

SPT(16)	4123151596298328623	0 54 56 84 86 116 120 126 194 200 204 234 236 264 266 320	-2285486957706
STPT(10)	4123151698563175307	0 2 30 32 42 44 54 56 84 86	-2183222111022
SPT(16)	4123152343296154361	0 6 18 30 42 62 78 90 128 140 156 176 188 200 212 218	-1538489131968
STPT(10)	4123152632289643739	0 2 42 44 90 92 138 140 180 182	-1249495642590
STPT(10)	4123153289554432487	0 2 54 56 72 74 90 92 144 146	-592230853842
STPT(10)	4123153558565309501	0 2 36 38 78 80 120 122 156 158	-323219976828
SPT(16)	4123154110313941433	0 44 56 84 108 134 156 170 174 188 210 236 260 288 300 344	228528655104
STPT(10)	4123154124255789419	0 2 18 20 30 32 42 44 60 62	242470503090
SPT(16)	4123154141291122969	0 142 160 168 180 204 252 264 388 400 448 472 484 492 510 652	259505836640
SPT(16)	4123155009035687843	0 14 18 56 96 110 150 186 218 254 294 308 348 386 390 404	1127250401514
STPT(10)	4123155497855395607	0 2 60 62 72 74 84 86 144 146	1616070109278