Prime p₀= 1124924230509134579 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: crashtech
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1124923609429431311	0 2 36 38 66 68 90 92 126 128 216 218 360 362	-621079703268
TPT(14)	1124923667951735651	0 2 60 62 138 140 150 152 156 158 180 182 348 350	-562557398928
SPT(16)	1124923812694478471	0 6 26 50 72 90 110 120 182 192 212 230 252 276 296 302	-417814656108
SPT(16)	1124923945559647703	0 8 30 66 84 108 158 194 210 246 296 320 338 374 396 404	-284949486876
SPT(16)	1124924178930825851	0 12 26 62 86 110 120 132 140 152 162 186 210 246 260 272	-51578308728
STPT(10)	1124924218844589347	0 2 30 32 60 62 90 92 120 122	-11664545232
STPT(10)	1124924457850333097	0 2 42 44 72 74 102 104 144 146	227341198518
STPT(10)	1124924793847419317	0 2 30 32 42 44 54 56 84 86	563338284738
SPT(16)	1124924890081876967	0 24 32 62 72 90 110 140 156 186 206 224 234 264 272 296	659572742388
SPT(16)	1124924960272346561	0 12 72 108 146 170 188 230 258 300 318 342 380 416 476 488	729763211982
SPT(16)	1124925765385408843	0 10 36 58 70 96 106 148 156 198 208 234 246 268 294 304	1534876274264