Prime p₀= 2959012326611122277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2959011281148999647	0 30 36 44 90 96 104 114 116 126 134 140 186 194 200 230	-1045462122630
STPT(10)	2959011602816641709	0 2 78 80 120 122 162 164 240 242	-723794480568
STPT(10)	2959012189500043067	0 2 30 32 42 44 54 56 84 86	-137111079210
STPT(10)	2959012199005789481	0 2 36 38 78 80 120 122 156 158	-127605332796
TPT(14)	2959012298636422079	0 2 30 32 42 44 72 74 198 200 252 254 258 260	-27974700198
STPT(10)	2959012310314346519	0 2 48 50 60 62 72 74 120 122	-16296775758
SPT(16)	2959012440251472377	0 14 26 42 56 120 152 164 192 204 236 300 314 330 342 356	113640350100
SPT(16)	2959012677165150173	0 36 78 80 98 110 128 176 240 288 306 318 336 338 380 416	350554027896
SPT(16)	2959012888232510479	0 60 94 108 112 118 130 168 184 222 234 240 244 258 292 352	561621388202
SPT(16)	2959013662412030191	0 28 66 70 82 132 150 160 168 178 196 246 258 262 300 328	1335800907914
SPT(16)	2959013749266390637	0 12 22 30 64 70 90 120 286 316 336 342 376 384 394 406	1422655268360