Prime p₀= 1539826953687066137 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: crashtech
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1539826474226690219	0 12 20 42 92 98 110 138 212 240 252 258 308 330 338 350	-479460375918
STPT(10)	1539826570483998161	0 2 30 32 78 80 126 128 156 158	-383203067976
SPT(16)	1539826734714511247	0 26 102 134 146 174 200 222 224 246 272 300 312 344 420 446	-218972554890
SPT(16)	1539826742285524177	0 24 52 70 72 102 112 136 150 174 184 214 216 234 262 286	-211401541960
STPT(10)	1539826800135034319	0 2 18 20 30 32 42 44 60 62	-153552031818
TPT(14)	1539826870111286837	0 2 12 14 54 56 132 134 150 152 192 194 222 224	-83575779300
STPT(10)	1539826985150114987	0 2 42 44 72 74 102 104 144 146	31463048850
SPT(16)	1539827085754235123	0 6 14 48 66 104 108 180 224 296 300 338 356 390 398 404	132067168986
SPT(16)	1539827162454290147	0 42 54 72 86 92 102 120 176 194 204 210 224 242 254 296	208767224010
SPT(16)	1539827503051679669	0 14 18 32 102 128 150 158 174 182 204 230 300 314 318 332	549364613532
SPT(16)	1539827819575456087	0 66 96 112 130 136 172 232 234 294 330 336 354 370 400 466	865888389950