Prime p₀= 2122638574209172049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2122636420645509911	0 2 6 8 18 20 30 32 36 38	-2153563662138
STPT(10)	2122636604949068237	0 2 30 32 42 44 54 56 84 86	-1969260103812
SPT(16)	2122636975848877217	0 14 86 90 92 144 146 174 212 240 242 294 296 300 372 386	-1598360294832
STPT(10)	2122637286022409579	0 2 90 92 150 152 210 212 300 302	-1288186762470
STPT(10)	2122637401371522941	0 2 6 8 48 50 90 92 96 98	-1172837649108
TPT(14)	2122638554741039327	0 2 24 26 102 104 150 152 282 284 354 356 504 506	-19468132722
SPT(16)	2122639118442859417	0 10 24 64 90 112 142 150 154 162 192 214 240 280 294 304	544233687368
SPT(16)	2122639448447510017	0 4 12 42 46 100 166 204 232 270 336 390 394 424 432 436	874238337968
STPT(10)	2122639591331399027	0 2 30 32 42 44 54 56 84 86	1017122226978
STPT(10)	2122640699432673401	0 2 36 38 78 80 120 122 156 158	2125223501352
TPT(14)	2122640792352124127	0 2 42 44 54 56 180 182 210 212 222 224 282 284	2218142952078