Prime p₀= 1412124632712453131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 70 2 70 2 34 2 (?)
a_n: 0 2 36 38 108 110 180 182 216 218
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: 218
Found by: Theadalus
db: batch=78, k=10, 2 34 2 70 2

SPT(16)	1412123331488104513	0 10 24 40 84 90 144 148 150 154 208 214 258 274 288 298	-1301224348618
STPT(10)	1412124018084994769	0 2 18 20 60 62 102 104 120 122	-614627458362
STPT(10)	1412124191918607197	0 2 30 32 60 62 90 92 120 122	-440793845934
STPT(10)	1412124220973838257	0 2 54 56 72 74 90 92 144 146	-411738614874
SPT(16)	1412124549559967917	0 16 72 76 94 112 142 154 192 204 234 252 270 274 330 346	-83152485214
SPT(16)	1412124555188831863	0 30 78 88 114 136 156 166 168 178 198 220 246 256 304 334	-77523621268
TPT(14)	1412124898934131799	0 2 30 32 42 44 60 62 102 104 180 182 228 230	266221678668
SPT(16)	1412125231389539057	0 26 44 62 72 114 140 144 182 186 212 254 264 282 300 326	598677085926
STPT(10)	1412125467900286031	0 2 6 8 48 50 90 92 96 98	835187832900
SPT(16)	1412125520486664589	0 12 30 34 64 78 84 154 168 238 244 258 288 292 310 322	887774211458
TPT(14)	1412125563449472239	0 2 18 20 30 32 222 224 252 254 258 260 342 344	930737019108