Prime p₀= 2846567532112954607 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: paulteo
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2846566457153724749	0 2 12 14 78 80 108 110 162 164 210 212 222 224	-1074959229858
STPT(10)	2846566928812231307	0 2 12 14 72 74 132 134 144 146	-603300723300
STPT(10)	2846567000493419627	0 2 30 32 72 74 114 116 144 146	-531619534980
SPT(16)	2846567078557990519	0 70 72 78 124 160 210 238 294 322 372 408 454 460 462 532	-453554964088
SPT(16)	2846567394588541231	0 28 58 72 76 88 102 126 142 166 180 192 196 210 240 268	-137524413376
STPT(10)	2846567417919335807	0 2 54 56 72 74 90 92 144 146	-114193618800
SPT(16)	2846567685133039711	0 6 42 78 106 142 210 216 232 238 306 342 370 406 442 448	153020085104
STPT(10)	2846568184698013751	0 2 66 68 108 110 150 152 216 218	652585059144
STPT(10)	2846568283308711347	0 2 12 14 42 44 72 74 84 86	751195756740
STPT(10)	2846568686330300537	0 2 60 62 72 74 84 86 144 146	1154217345930
SPT(13)	2846569036737479579	0 12 30 60 114 144 162 180 210 264 294 312 324	1504624524972