Prime p₀= 2119715474432451167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2119714196844927161	0 26 36 62 120 146 246 300 308 362 462 488 546 572 582 608	-1277587524006
STPT(10)	2119714221389364239	0 2 48 50 90 92 132 134 180 182	-1253043086928
STPT(10)	2119714741236653831	0 2 6 8 48 50 90 92 96 98	-733195797336
SPT(16)	2119715150914255679	0 30 38 54 72 78 110 170 192 252 284 290 308 324 332 362	-323518195488
SPT(16)	2119715199677331211	0 18 46 72 76 102 106 112 216 222 226 252 256 282 310 328	-274755119956
SPT(16)	2119715321072326969	0 28 78 94 112 162 168 210 232 274 280 330 348 364 414 442	-153360124198
STPT(10)	2119716123695203247	0 2 30 32 42 44 54 56 84 86	649262752080
SPT(16)	2119716275562501877	0 6 16 72 76 94 106 136 210 240 252 270 274 330 340 346	801130050710
TPT(14)	2119716574372645877	0 2 12 14 24 26 30 32 114 116 144 146 222 224	1099940194710
SPT(16)	2119716578040028333	0 28 60 70 88 114 126 130 144 148 160 186 204 214 246 274	1103607577166
TPT(14)	2119717268987584127	0 2 12 14 42 44 54 56 180 182 234 236 240 242	1794555132960