Prime p₀= 2999117864059294301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2999117262470528609	0 2 12 14 90 92 168 170 180 182	-601588765692
STPT(10)	2999117453770919177	0 2 30 32 72 74 114 116 144 146	-410288375124
STPT(10)	2999117522225844359	0 2 18 20 30 32 42 44 60 62	-341833449942
SPT(16)	2999117673477869641	0 22 42 48 76 90 106 136 162 192 208 222 250 256 276 298	-190581424660
SPT(16)	2999117674744904957	0 12 60 72 116 122 132 164 342 374 384 390 434 446 494 506	-189314389344
SPT(16)	2999117682316098331	0 42 70 88 130 132 160 172 228 240 268 270 312 330 358 400	-181743195970
SPT(16)	2999117926841022421	0 52 70 100 112 120 138 162 226 250 268 276 288 318 336 388	62781728120
STPT(10)	2999118022426745117	0 2 90 92 132 134 174 176 264 266	158367450816
STPT(10)	2999118815949632417	0 2 30 32 42 44 54 56 84 86	951890338116
SPT(16)	2999119007736179747	0 72 86 90 182 206 216 240 242 266 276 300 392 396 410 482	1143676885446
SPT(16)	2999119170462183371	0 66 78 80 102 158 176 182 246 252 270 326 348 350 362 428	1306402889070