Prime p₀= 2158881193125849131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2158879055829083849	0 2 18 20 30 32 42 44 60 62	-2137296765282
SPT(18)	2158879179549834967	0 10 64 84 106 120 124 130 154 162 186 192 196 210 232 252 306 316	-2013576014164
SPT(16)	2158879183570910501	0 42 72 78 98 108 140 182 318 360 392 402 422 428 458 500	-2009554938630
SPT(16)	2158879416560267537	0 24 42 80 122 134 162 170 174 182 210 222 264 302 320 344	-1776565581594
STPT(12)	2158880551905907757	0 2 30 32 42 44 102 104 114 116 144 146	-641219941374
STPT(10)	2158880962188202907	0 2 30 32 72 74 114 116 144 146	-230937646224
STPT(10)	2158881218921677277	0 2 30 32 42 44 54 56 84 86	25795828146
STPT(10)	2158881251085853109	0 2 12 14 90 92 168 170 180 182	57960003978
TPT(14)	2158881641534747531	0 2 96 98 108 110 180 182 216 218 360 362 420 422	448408898400
SPT(16)	2158882129002098183	0 6 66 80 84 116 140 150 224 234 258 290 294 308 368 374	935876249052
SPT(16)	2158882165497162277	0 34 72 96 100 102 124 130 156 162 184 186 190 214 252 286	972371313146