Prime p₀= 1236516927248068967 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: vinn@[CNT]
db: batch=77, k=10, 2 10 2 58 2

STPT(10)	1236514800561615329	0 2 18 20 30 32 42 44 60 62	-2126686453638
SPT(16)	1236515077206189029	0 2 54 72 84 110 120 134 138 152 162 188 200 218 270 272	-1850041879938
SPT(16)	1236516003281590079	0 14 90 102 114 182 192 198 224 230 240 308 320 332 408 422	-923966478888
SPT(16)	1236516013507367941	0 40 52 60 102 108 132 162 178 208 232 238 280 288 300 340	-913740701026
TPT(14)	1236516239420860001	0 2 36 38 48 50 60 62 240 242 246 248 300 302	-687827208966
SPT(16)	1236516797085803203	0 6 10 18 28 34 66 76 78 88 120 126 136 144 148 154	-130162265764
SPT(16)	1236517176864616483	0 4 18 36 46 64 144 156 238 250 330 348 358 376 390 394	249616547516
STPT(10)	1236517213530237017	0 2 30 32 42 44 54 56 84 86	286282168050
SPT(16)	1236517652476753291	0 28 30 40 52 78 82 112 138 168 172 198 210 220 222 250	725228684324
STPT(10)	1236517654105509857	0 2 54 56 72 74 90 92 144 146	726857440890
STPT(10)	1236517856568255029	0 2 18 20 30 32 42 44 60 62	929320186062