Prime p₀= 928176593178400121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 16 2 190 2 16 2 10 2 (?)
a_n: 0 2 48 50 78 80 96 98 288 290 306 308 318 320
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: 320
Found by: crashtech
db: batch=76, k=14, 46 28 16 190 16 10

STPT(10)	928175341189218467	0 2 42 44 72 74 102 104 144 146	-1251989181654
STPT(10)	928175969319963107	0 2 42 44 72 74 102 104 144 146	-623858437014
TPT(14)	928176465261498239	0 2 48 50 78 80 90 92 120 122 150 152 210 212	-127916901882
STPT(10)	928176471006096041	0 2 36 38 78 80 120 122 156 158	-122172304080
SPT(16)	928176516688877431	0 66 72 78 126 198 226 258 310 342 370 442 490 496 502 568	-76489522690
SPT(16)	928176551701363897	0 22 52 60 72 136 144 150 196 202 210 274 286 294 324 346	-41477036224
STPT(10)	928176623578407491	0 2 36 38 78 80 120 122 156 158	30400007370
SPT(16)	928176845422778467	0 22 24 40 42 102 120 130 294 304 322 382 384 400 402 424	252244378346
STPT(10)	928176857610245987	0 2 84 86 102 104 120 122 204 206	264431845866
SPT(16)	928177551175605253	0 28 54 76 96 124 130 150 154 174 180 208 228 250 276 304	957997205132
SPT(16)	928177553115455089	0 84 100 144 174 210 214 262 360 408 412 448 478 522 538 622	959937054968