Prime p₀= 2124460311678468089 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(20)	2124459211022029711	0 18 22 46 60 166 222 228 286 312 316 342 400 406 462 568 582 606 610 628	-1100656438378
SPT(16)	2124459276808028983	0 16 18 30 88 124 186 210 214 238 300 336 394 406 408 424	-1034870439106
SPT(16)	2124459393542937877	0 60 82 90 132 142 174 180 214 220 252 262 304 312 334 394	-918135530212
STPT(10)	2124459783902831939	0 2 48 50 90 92 132 134 180 182	-527775636150
TPT(14)	2124460051571606249	0 2 72 74 90 92 138 140 198 200 210 212 228 230	-260106861840
STPT(10)	2124460163729682197	0 2 42 44 72 74 102 104 144 146	-147948785892
STPT(10)	2124460500526778891	0 2 36 38 78 80 120 122 156 158	188848310802
STPT(10)	2124460847918031941	0 2 48 50 108 110 168 170 216 218	536239563852
SPT(16)	2124460980972873623	0 6 26 120 134 194 204 216 218 230 240 300 314 408 428 434	669294405534
STPT(10)	2124461204523676691	0 2 30 32 78 80 126 128 156 158	892845208602
TPT(14)	2124461411169270791	0 2 36 38 48 50 120 122 168 170 258 260 366 368	1099490802702