Prime p₀= 2691115446473618069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: biodoc
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2691113934619133833	0 10 40 60 66 108 166 186 238 258 316 358 364 384 414 424	-1511854484236
SPT(16)	2691114234358516321	0 28 36 46 82 148 150 172 186 208 210 276 312 322 330 358	-1212115101748
SPT(16)	2691114296503648289	0 14 18 44 60 72 108 114 128 134 170 182 198 224 228 242	-1149969969780
SPT(16)	2691114514547937589	0 40 52 60 100 102 114 154 210 250 262 264 304 312 324 364	-931925680480
STPT(10)	2691114703004045369	0 2 18 20 30 32 42 44 60 62	-743469572700
STPT(10)	2691114824761931759	0 2 78 80 120 122 162 164 240 242	-621711686310
STPT(10)	2691116728866496109	0 2 48 50 90 92 132 134 180 182	1282392878040
STPT(10)	2691116863541053271	0 2 36 38 78 80 120 122 156 158	1417067435202
SPT(16)	2691116864155409579	0 32 54 80 84 102 138 158 204 224 260 278 282 308 330 362	1417681791510
STPT(10)	2691117168377601779	0 2 12 14 30 32 48 50 60 62	1721903983710
STPT(10)	2691117190934211329	0 2 12 14 90 92 168 170 180 182	1744460593260