Prime p₀= 1232783165989680047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Spectrum
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1232782436259132557	0 2 30 32 42 44 54 56 84 86	-729730547490
STPT(10)	1232782531879529957	0 2 60 62 72 74 84 86 144 146	-634110150090
TPT(14)	1232782533390305957	0 2 90 92 174 176 222 224 294 296 360 362 384 386	-632599374090
STPT(10)	1232782578556030919	0 2 18 20 30 32 42 44 60 62	-587433649128
SPT(16)	1232782605685890019	0 18 22 24 28 48 54 70 102 118 124 144 148 150 154 172	-560303790028
STPT(10)	1232783055280818029	0 2 18 20 30 32 42 44 60 62	-110708862018
SPT(16)	1232783283546222391	0 16 48 112 126 130 210 222 286 298 378 382 396 460 492 508	117556542344
SPT(16)	1232783403939658159	0 4 40 72 108 120 130 138 154 162 172 184 220 252 288 292	237949978112
SPT(16)	1232783466632961713	0 26 38 78 116 140 158 186 260 288 306 330 368 408 420 446	300643281666
SPT(16)	1232783521041475061	0 42 50 68 72 102 158 182 198 222 278 308 312 330 338 380	355051795014
TPT(14)	1232784004902193517	0 2 12 14 72 74 144 146 180 182 222 224 252 254	838912513470