Prime p₀= 1249409200799899157 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: arkiss
db: batch=77, k=10, 2 10 2 58 2

SPT(18)	1249407603398694407	0 6 12 26 72 92 132 140 150 152 162 170 210 230 276 290 296 302	-1597401204750
SPT(16)	1249407785877268177	0 10 12 54 70 94 112 184 222 294 312 336 352 394 396 406	-1414922630980
SPT(16)	1249408473869690153	0 8 24 48 50 54 78 84 104 110 134 138 140 164 180 188	-726930209004
STPT(10)	1249408645652438597	0 2 60 62 72 74 84 86 144 146	-555147460560
STPT(10)	1249408657817621009	0 2 42 44 60 62 78 80 120 122	-542982278148
STPT(10)	1249408914278744081	0 2 30 32 78 80 126 128 156 158	-286521155076
STPT(10)	1249409298980357609	0 2 48 50 90 92 132 134 180 182	98180458452
SPT(18)	1249409484503552767	0 6 52 54 76 84 96 132 142 234 244 280 292 300 322 324 370 376	283703653610
STPT(10)	1249409741699165411	0 2 30 32 78 80 126 128 156 158	540899266254
STPT(10)	1249409797136593031	0 2 30 32 60 62 90 92 120 122	596336693874
SPT(16)	1249410005627140601	0 6 26 38 60 66 80 90 158 168 182 188 210 222 242 248	804827241444