Prime p₀= 2878469710792492589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2878468065769446421	0 12 40 42 82 108 120 126 172 178 190 216 256 258 286 298	-1645023046168
SPT(18)	2878468152741825911	0 36 60 78 120 158 168 192 210 218 236 260 270 308 350 368 392 428	-1558050666678
STPT(10)	2878468333909576691	0 2 90 92 108 110 126 128 216 218	-1376882915898
STPT(10)	2878468362546216491	0 2 6 8 18 20 30 32 36 38	-1348246276098
STPT(10)	2878468880962449329	0 2 78 80 120 122 162 164 240 242	-829830043260
SPT(16)	2878469381546620493	0 8 20 66 78 84 104 114 140 150 170 176 188 234 246 254	-329245872096
STPT(10)	2878469979995391809	0 2 18 20 30 32 42 44 60 62	269202899220
SPT(16)	2878470033899707381	0 12 72 102 112 120 138 148 162 172 190 198 208 238 298 310	323107214792
SPT(16)	2878470035250591941	0 18 48 60 66 68 146 158 168 180 258 260 266 278 308 326	324458099352
TPT(14)	2878470524030862797	0 2 54 56 84 86 114 116 240 242 252 254 282 284	813238370208
SPT(16)	2878470562895537237	0 20 36 50 66 84 102 132 194 224 242 260 276 290 306 326	852103044648