Prime p₀= 2648269650144908729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: suriv
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2648268365232355531	0 100 102 106 108 162 180 196 222 238 256 310 312 316 318 418	-1284912553198
SPT(16)	2648268509392022831	0 6 18 26 68 90 96 116 222 242 248 270 312 320 332 338	-1140752885898
STPT(10)	2648268625097070881	0 2 6 8 48 50 90 92 96 98	-1025047837848
SPT(16)	2648268652287445543	0 48 94 100 114 124 126 156 178 208 210 220 234 240 286 334	-997857463186
STPT(10)	2648269536764316761	0 2 6 8 18 20 30 32 36 38	-113380591968
STPT(10)	2648269560392979881	0 2 96 98 138 140 180 182 276 278	-89751928848
STPT(10)	2648269811780484497	0 2 60 62 72 74 84 86 144 146	161635575768
STPT(10)	2648270129242219367	0 2 30 32 72 74 114 116 144 146	479097310638
STPT(10)	2648270422758299147	0 2 12 14 72 74 132 134 144 146	772613390418
SPT(16)	2648270474229569977	0 12 40 102 130 144 160 210 214 264 280 294 322 384 412 424	824084661248
SPT(16)	2648270921667705643	0 58 64 124 130 184 298 304 324 330 444 498 504 564 570 628	1271522796914