Prime p₀= 912778288224036917 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: Theadalus
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	912777110143591463	0 8 24 56 66 128 158 194 210 246 276 338 348 380 396 404	-1178080445454
SPT(16)	912777273569894797	0 4 10 36 52 72 94 120 136 162 184 204 220 246 252 256	-1014654142120
STPT(12)	912777982877092511	0 2 60 62 90 92 126 128 156 158 216 218	-305346944406
STPT(10)	912778016567051189	0 2 18 20 60 62 102 104 120 122	-271656985728
TPT(14)	912778041117595097	0 2 42 44 90 92 144 146 174 176 210 212 222 224	-247106441820
TPT(14)	912778224315472187	0 2 12 14 30 32 114 116 162 164 330 332 360 362	-63908564730
SPT(16)	912778624630328581	0 28 30 42 76 142 156 178 240 262 276 342 376 388 390 418	336406291664
STPT(10)	912778704364415459	0 2 18 20 30 32 42 44 60 62	416140378542
STPT(10)	912778745136898751	0 2 138 140 168 170 198 200 336 338	456912861834
SPT(16)	912779434900335271	0 16 58 66 70 76 100 120 148 168 192 198 202 210 252 268	1146676298354
SPT(16)	912779682971115391	0 6 76 82 126 130 138 148 150 160 168 172 216 222 292 298	1394747078474