Prime p₀= 4305628778000753639 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: Chooka
db: batch=85, k=10, 2 16 2 40 2

STPT(10)	4305627373747347467	0 2 30 32 42 44 54 56 84 86	-1404253406172
STPT(10)	4305627988938749897	0 2 54 56 72 74 90 92 144 146	-789062003742
SPT(16)	4305628016220013771	0 10 16 18 46 52 66 96 112 142 156 162 190 192 198 208	-761780739868
STPT(10)	4305628088622454409	0 2 12 14 90 92 168 170 180 182	-689378299230
STPT(10)	4305628263296419361	0 2 30 32 78 80 126 128 156 158	-514704334278
SPT(16)	4305628422541357661	0 78 80 92 102 192 206 228 260 282 296 386 396 408 410 488	-355459395978
SPT(16)	4305628961474820229	0 12 34 54 64 70 112 120 172 180 222 228 238 258 280 292	183474066590
SPT(16)	4305629092549864727	0 14 26 44 102 110 134 140 156 162 186 194 252 270 282 296	314549111088
STPT(10)	4305629111926136039	0 2 42 44 90 92 138 140 180 182	333925382400
TPT(14)	4305629391875031599	0 2 30 32 42 44 108 110 192 194 288 290 330 332	613874277960
SPT(16)	4305629751146489671	0 22 36 78 112 126 156 166 222 232 262 276 310 352 366 388	973145736032