Prime p₀= 1263629508768795167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: rlacr
db: batch=77, k=10, 2 22 2 16 2

TPT(14)	1263628769229851699	0 2 48 50 120 122 132 134 252 254 288 290 318 320	-739538943468
STPT(10)	1263628804970553641	0 2 6 8 48 50 90 92 96 98	-703798241526
STPT(10)	1263628974155586671	0 2 6 8 48 50 90 92 96 98	-534613208496
SPT(16)	1263629052397037659	0 4 54 90 112 142 172 190 264 282 312 342 364 400 450 454	-456371757508
TPT(14)	1263629190662781779	0 2 42 44 72 74 90 92 102 104 222 224 312 314	-318106013388
STPT(10)	1263629256443852327	0 2 12 14 42 44 72 74 84 86	-252324942840
SPT(16)	1263630352551562573	0 6 30 34 70 76 90 114 160 184 198 204 240 244 268 274	843782767406
SPT(16)	1263630375480417289	0 60 90 120 144 168 184 190 252 258 274 298 322 352 382 442	866711622122
STPT(10)	1263630482647886999	0 2 48 50 60 62 72 74 120 122	973879091832
SPT(16)	1263630581840382719	0 8 12 38 78 80 108 110 120 122 150 152 192 218 222 230	1073071587552
STPT(10)	1263630841230943649	0 2 48 50 60 62 72 74 120 122	1332462148482