Prime p₀= 2573558597986640351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 40 2

TPT(14)	2573557467515637737	0 2 24 26 30 32 120 122 162 164 180 182 222 224	-1130471002614
STPT(12)	2573557525768517789	0 2 18 20 42 44 48 50 72 74 90 92	-1072218122562
STPT(10)	2573557990046471927	0 2 42 44 72 74 102 104 144 146	-607940168424
SPT(16)	2573558267338415419	0 12 34 52 54 58 60 90 262 292 294 298 300 318 340 352	-330648224932
STPT(10)	2573558344811981159	0 2 42 44 90 92 138 140 180 182	-253174659192
SPT(16)	2573558597219337239	0 18 32 74 84 98 108 128 234 254 264 278 288 330 344 362	-767303112
SPT(16)	2573558660922013493	0 24 36 44 84 86 98 128 156 186 198 200 240 248 260 284	62935373142
STPT(10)	2573558674290604547	0 2 30 32 42 44 54 56 84 86	76303964196
TPT(14)	2573559284829692921	0 2 66 68 150 152 156 158 168 170 186 188 318 320	686843052570
SPT(16)	2573559334038105823	0 34 70 76 114 124 130 144 196 210 216 226 264 270 306 340	736051465472
STPT(10)	2573559977274651731	0 2 36 38 78 80 120 122 156 158	1379288011380