Prime p₀= 2116159187977493117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2116157093139855823	0 4 24 36 46 84 114 124 126 136 166 204 214 226 246 250	-2094837637294
SPT(16)	2116157579601253813	0 30 48 70 78 88 114 118 186 190 216 226 234 256 274 304	-1608376239304
STPT(10)	2116157749008436499	0 2 42 44 60 62 78 80 120 122	-1438969056618
SPT(16)	2116157986402317257	0 14 30 60 80 92 96 114 122 140 144 156 176 206 222 236	-1201575175860
STPT(10)	2116157996803447979	0 2 48 50 90 92 132 134 180 182	-1191174045138
STPT(10)	2116158577064123939	0 2 42 44 90 92 138 140 180 182	-610913369178
STPT(10)	2116159220376831569	0 2 42 44 60 62 78 80 120 122	32399338452
SPT(16)	2116159283242010353	0 40 46 88 90 106 118 154 300 336 348 364 366 408 414 454	95264517236
TPT(14)	2116159605753036509	0 2 12 14 30 32 42 44 78 80 150 152 162 164	417775543392
STPT(10)	2116159867901575721	0 2 36 38 78 80 120 122 156 158	679924082604
SPT(16)	2116160335949637041	0 50 56 60 110 116 120 140 162 182 186 192 242 246 252 302	1147972143924