Prime p₀= 1246929495261707399 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: emoga
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1246927513027638437	0 2 30 32 72 74 114 116 144 146	-1982234068962
STPT(10)	1246927971457341917	0 2 42 44 72 74 102 104 144 146	-1523804365482
STPT(10)	1246928851924448897	0 2 12 14 42 44 72 74 84 86	-643337258502
SPT(16)	1246929040072243427	0 42 92 102 126 146 162 170 186 194 210 230 254 264 314 356	-455189463972
TPT(14)	1246929163955544239	0 2 18 20 30 32 78 80 132 134 210 212 252 254	-331306163160
SPT(16)	1246929356230262249	0 20 72 110 114 188 200 210 242 252 264 338 342 380 432 452	-139031445150
STPT(10)	1246929792381318509	0 2 48 50 60 62 72 74 120 122	297119611110
STPT(10)	1246929939395581487	0 2 12 14 72 74 132 134 144 146	444133874088
SPT(16)	1246930177881568253	0 78 80 146 156 164 188 204 260 276 300 308 318 384 386 464	682619860854
TPT(14)	1246930387937393981	0 2 246 248 258 260 288 290 486 488 510 512 516 518	892675686582
SPT(16)	1246930426736290679	0 78 102 120 132 138 152 158 204 210 224 230 242 260 284 362	931474583280