Prime p₀= 1273816407318250067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1273815035103537503	0 54 90 98 104 108 110 128 150 168 170 174 180 188 224 278	-1372214712564
TPT(14)	1273815115853796749	0 2 30 32 48 50 78 80 120 122 288 290 330 332	-1291464453318
STPT(10)	1273815282664105541	0 2 6 8 48 50 90 92 96 98	-1124654144526
SPT(16)	1273815293186866847	0 32 62 92 96 110 146 162 200 216 252 266 270 300 330 362	-1114131383220
STPT(10)	1273815898845102029	0 2 18 20 30 32 42 44 60 62	-508473148038
SPT(16)	1273816401264502679	0 2 38 62 72 78 80 84 128 132 134 140 150 174 210 212	-6053747388
SPT(16)	1273816460825588989	0 40 64 72 138 190 204 220 282 298 312 364 430 438 462 502	53507338922
STPT(10)	1273816748629951649	0 2 12 14 30 32 48 50 60 62	341311701582
STPT(10)	1273816811400630977	0 2 30 32 42 44 54 56 84 86	404082380910
STPT(10)	1273816913462767097	0 2 54 56 72 74 90 92 144 146	506144517030
SPT(16)	1273817002292043449	0 8 14 18 50 60 74 78 104 108 122 132 164 168 174 182	594973793382