Prime p₀= 1251417383601705557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1251416272995958763	0 74 78 114 116 150 158 180 224 246 254 288 290 326 330 404	-1110605746794
SPT(18)	1251416321602092127	0 4 16 52 72 76 84 100 102 184 186 202 210 214 234 270 282 286	-1061999613430
SPT(16)	1251416367083244941	0 18 56 68 78 96 98 210 218 330 332 350 360 372 410 428	-1016518460616
TPT(14)	1251416388810025421	0 2 18 20 90 92 96 98 156 158 216 218 240 242	-994791680136
STPT(10)	1251416975739547319	0 2 138 140 150 152 162 164 300 302	-407862158238
SPT(16)	1251417363267157111	0 6 18 48 70 106 120 138 148 166 180 216 238 268 280 286	-20334548446
SPT(16)	1251417695143174631	0 36 42 50 62 72 80 90 242 252 260 270 282 290 296 332	311541469074
SPT(16)	1251417714806024603	0 24 26 66 68 78 120 134 210 224 266 276 278 318 320 344	331204319046
STPT(10)	1251417781420231037	0 2 30 32 42 44 54 56 84 86	397818525480
STPT(10)	1251418015212202889	0 2 42 44 60 62 78 80 120 122	631610497332
TPT(14)	1251418138049348219	0 2 30 32 42 44 150 152 192 194 210 212 240 242	754447642662