Prime p₀= 1269039949308091781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mikey
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1269038975344879757	0 2 12 14 72 74 132 134 144 146	-973963212024
STPT(10)	1269039219252571379	0 2 18 20 30 32 42 44 60 62	-730055520402
SPT(16)	1269039297416041147	0 12 34 36 64 96 120 124 162 166 190 222 250 252 274 286	-651892050634
SPT(16)	1269039404183123633	0 68 74 114 120 156 158 210 254 306 308 344 350 390 396 464	-545124968148
STPT(10)	1269039440482482839	0 2 42 44 60 62 78 80 120 122	-508825608942
SPT(16)	1269039511696978867	0 46 52 54 60 84 112 150 196 234 262 286 292 294 300 346	-437611112914
SPT(16)	1269040319087168107	0 16 22 60 120 186 232 244 252 264 310 376 436 474 480 496	369779076326
SPT(16)	1269040371694333853	0 24 30 38 54 96 108 110 114 116 128 170 186 194 200 224	422386242072
SPT(16)	1269040569510246439	0 12 34 40 48 58 90 100 102 112 144 154 162 168 190 202	620202154658
STPT(10)	1269040680262151009	0 2 12 14 90 92 168 170 180 182	730954059228
STPT(10)	1269040750471189469	0 2 12 14 90 92 168 170 180 182	801163097688