Prime p₀= 1123097173234896149 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: crashtech
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1123094502977083361	0 2 6 8 48 50 90 92 96 98	-2670257812788
SPT(18)	1123094836099420927	0 30 42 52 72 94 100 114 144 190 220 234 240 262 282 292 304 334	-2337135475222
STPT(10)	1123094963483983667	0 2 60 62 102 104 144 146 204 206	-2209750912482
TPT(14)	1123095383790123827	0 2 42 44 54 56 72 74 114 116 150 152 180 182	-1789444772322
SPT(16)	1123096535711046829	0 18 30 100 108 130 142 192 220 270 282 304 312 382 394 412	-637523849320
STPT(10)	1123096988683490759	0 2 30 32 120 122 210 212 240 242	-184551405390
SPT(16)	1123097203527841901	0 6 20 30 32 42 56 80 168 192 206 216 218 228 242 248	30292945752
STPT(10)	1123097391118394357	0 2 12 14 42 44 72 74 84 86	217883498208
SPT(16)	1123097426642167367	0 2 42 84 150 164 174 222 242 290 300 314 380 422 462 464	253407271218
SPT(16)	1123097482693242097	0 46 54 60 72 112 174 184 252 262 324 364 376 382 390 436	309458345948
SPT(16)	1123098171017485657	0 36 46 70 112 124 126 154 222 250 252 264 306 330 340 376	997782589508