Prime p₀= 3978777601416525977 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: pah
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3978775899546916861	0 12 22 46 66 72 78 100 108 130 136 142 162 186 196 208	-1701869609116
STPT(10)	3978775957920770099	0 2 18 20 30 32 42 44 60 62	-1643495755878
STPT(10)	3978776002085121857	0 2 42 44 72 74 102 104 144 146	-1599331404120
STPT(10)	3978776537292658061	0 2 36 38 78 80 120 122 156 158	-1064123867916
SPT(16)	3978777216276407977	0 4 40 54 84 154 196 220 456 480 522 592 622 636 672 676	-385140118000
SPT(16)	3978777514276099603	0 4 24 78 84 90 118 138 160 180 208 214 220 274 294 298	-87140426374
SPT(16)	3978778195558899373	0 34 54 60 88 180 186 208 246 268 274 366 394 400 420 454	594142373396
STPT(10)	3978778425879872939	0 2 18 20 30 32 42 44 60 62	824463346962
SPT(16)	3978778478483394517	0 10 16 52 70 94 100 162 184 246 252 276 294 330 336 346	877066868540
SPT(16)	3978778748864030161	0 40 72 150 156 166 180 222 226 268 282 292 298 376 408 448	1147447504184
STPT(10)	3978779076633703127	0 2 30 32 60 62 90 92 120 122	1475217177150