Prime p₀= 993307626039310259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 88 2 40 2 34 2 22 2 (?)
a_n: 0 2 30 32 60 62 150 152 192 194 228 230 252 254
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 254
Found by: Theadalus
db: batch=76, k=14, 28 28 88 40 34 22

STPT(10)	993305916377828927	0 2 30 32 42 44 54 56 84 86	-1709661481332
STPT(10)	993306322153046171	0 2 6 8 48 50 90 92 96 98	-1303886264088
SPT(16)	993306846158078239	0 28 42 54 72 78 88 162 190 264 274 280 298 310 324 352	-779881232020
STPT(10)	993306957398010779	0 2 18 20 30 32 42 44 60 62	-668641299480
STPT(10)	993307158721151957	0 2 42 44 72 74 102 104 144 146	-467318158302
SPT(16)	993307540813927961	0 12 72 98 138 140 150 152 186 188 198 200 240 266 326 338	-85225382298
TPT(14)	993307919000477219	0 2 12 14 168 170 198 200 240 242 282 284 348 350	292961166960
STPT(10)	993308051020337357	0 2 30 32 42 44 54 56 84 86	424981027098
STPT(10)	993308645332253321	0 2 30 32 120 122 210 212 240 242	1019292943062
SPT(16)	993308924419513549	0 18 22 60 78 82 84 94 138 148 150 154 172 210 214 232	1298380203290
SPT(16)	993309157711422833	0 86 108 110 114 138 140 150 254 264 266 290 294 296 318 404	1531672112574