Prime p₀= 1236517856568255029 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: xii5ku
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1236516797085803203	0 6 10 18 28 34 66 76 78 88 120 126 136 144 148 154	-1059482451826
STPT(10)	1236516927248068967	0 2 12 14 72 74 132 134 144 146	-929320186062
SPT(16)	1236517176864616483	0 4 18 36 46 64 144 156 238 250 330 348 358 376 390 394	-679703638546
STPT(10)	1236517213530237017	0 2 30 32 42 44 54 56 84 86	-643038018012
SPT(16)	1236517652476753291	0 28 30 40 52 78 82 112 138 168 172 198 210 220 222 250	-204091501738
STPT(10)	1236517654105509857	0 2 54 56 72 74 90 92 144 146	-202462745172
SPT(16)	1236518427282668557	0 30 76 130 184 196 216 250 300 334 354 366 420 474 520 550	570714413528
SPT(16)	1236518709308501009	0 24 30 32 48 74 80 98 114 132 138 164 180 182 188 212	852740245980
TPT(14)	1236518901259955021	0 2 60 62 126 128 210 212 216 218 288 290 330 332	1044691699992
SPT(18)	1236519024995791079	0 60 78 98 114 180 182 200 210 212 222 240 242 308 324 344 362 422	1168427536050
SPT(16)	1236519142345811459	0 20 32 44 50 92 174 182 192 200 282 324 330 342 354 374	1285777556430