Prime p₀= 2726162944562991287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

TPT(14)	2726162038366018661	0 2 78 80 120 122 126 128 138 140 258 260 288 290	-906196972626
STPT(10)	2726162049095340641	0 2 30 32 60 62 90 92 120 122	-895467650646
SPT(16)	2726162253903920761	0 28 30 66 112 118 150 160 168 178 210 216 262 298 300 328	-690659070526
STPT(10)	2726162313222056711	0 2 36 38 78 80 120 122 156 158	-631340934576
SPT(16)	2726162750809970987	0 42 62 86 116 126 132 140 162 170 176 186 216 240 260 302	-193753020300
STPT(10)	2726162909687034161	0 2 36 38 78 80 120 122 156 158	-34875957126
SPT(16)	2726163097732557911	0 36 42 72 110 126 156 158 180 182 212 228 266 296 302 338	153169566624
STPT(10)	2726163184562097347	0 2 12 14 42 44 72 74 84 86	239999106060
STPT(12)	2726163371873152997	0 2 30 32 42 44 90 92 102 104 132 134	427310161710
SPT(16)	2726163736992474277	0 30 36 42 52 66 100 102 160 162 196 210 220 226 232 262	792429482990
STPT(10)	2726164013056614587	0 2 30 32 72 74 114 116 144 146	1068493623300