Prime p₀= 2167819963366195049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2167816766687764499	0 20 32 54 60 62 74 104 108 138 150 152 158 180 192 212	-3196678430550
STPT(10)	2167817049373793339	0 2 18 20 30 32 42 44 60 62	-2913992401710
STPT(10)	2167818370735238201	0 2 36 38 78 80 120 122 156 158	-1592630956848
STPT(10)	2167818986429571647	0 2 12 14 42 44 72 74 84 86	-976936623402
SPT(13)	2167819644773093581	0 6 72 96 102 132 156 180 210 216 240 306 312	-318593101468
SPT(16)	2167819955905196011	0 12 18 42 70 172 180 202 228 250 258 360 388 412 418 430	-7460999038
SPT(16)	2167820378113567679	0 20 38 54 80 98 102 110 132 140 144 162 188 204 222 242	414747372630
STPT(10)	2167821273288131441	0 2 30 32 78 80 126 128 156 158	1309921936392
SPT(16)	2167821618087820549	0 10 52 78 82 84 138 144 148 154 208 210 214 240 282 292	1654721625500
SPT(16)	2167822011157387033	0 10 28 66 78 96 130 166 168 204 238 256 268 306 324 334	2047791191984
STPT(12)	2167822258769119367	0 2 30 32 72 74 132 134 174 176 204 206	2295402924318