Prime p₀= 1365041747828207789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: emoga
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1365040224131163791	0 12 78 92 96 102 110 120 158 168 176 182 186 200 266 278	-1523697043998
STPT(10)	1365040965124431059	0 2 12 14 90 92 168 170 180 182	-782703776730
SPT(13)	1365040988365558321	0 6 42 60 72 132 156 180 240 252 270 306 312	-759462649468
SPT(16)	1365041441675235431	0 6 18 42 50 60 98 116 132 150 188 198 206 230 242 248	-306152972358
STPT(10)	1365041497979924459	0 2 30 32 60 62 90 92 120 122	-249848283330
SPT(16)	1365041685814265929	0 30 78 84 88 144 220 228 280 288 364 420 424 430 478 508	-62013941860
SPT(16)	1365041827401374497	0 16 36 70 72 100 102 126 190 214 216 244 246 280 300 316	79573166708
SPT(16)	1365041888456197709	0 8 42 72 84 92 102 108 134 140 150 158 170 200 234 242	140627989920
SPT(16)	1365042085781434681	0 18 66 76 78 106 118 148 150 180 192 220 222 232 280 298	337953226892
TPT(14)	1365042129730601129	0 2 12 14 78 80 108 110 120 122 150 152 168 170	381902393340
SPT(16)	1365042590296993799	0 2 8 20 38 48 98 164 168 234 284 294 312 324 330 332	842468786010