Prime p₀= 1177456688432104877 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1177455973778633291	0 18 72 110 138 152 156 162 176 182 186 200 228 266 320 338	-714653471586
STPT(10)	1177456106640105947	0 2 54 56 72 74 90 92 144 146	-581791998930
STPT(10)	1177456427401360331	0 2 36 38 78 80 120 122 156 158	-261030744546
SPT(16)	1177456509417660643	0 28 34 48 70 84 106 136 138 168 190 204 226 240 246 274	-179014444234
STPT(10)	1177456539298496657	0 2 54 56 72 74 90 92 144 146	-149133608220
TPT(14)	1177456597969763099	0 2 18 20 48 50 72 74 102 104 132 134 162 164	-90462341778
SPT(13)	1177456698082524437	0 12 42 96 156 180 246 312 336 396 450 480 492	9650419560
STPT(10)	1177457656252789907	0 2 30 32 72 74 114 116 144 146	967820685030
SPT(16)	1177458257159606621	0 38 66 122 132 146 156 168 170 182 192 206 216 272 300 338	1568727501744
SPT(16)	1177458657127821989	0 44 74 84 200 222 224 230 252 258 260 282 398 408 438 482	1968695717112
TPT(14)	1177458974609911289	0 2 30 32 132 134 162 164 228 230 270 272 282 284	2286177806412