Prime p₀= 2774881290684717161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 268 2 106 2 10 2 4 2 10 2 (?)
a_n: 0 2 120 122 390 392 498 500 510 512 516 518 528 530
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: 530
Found by: JayPi
db: batch=82, k=14, 118 268 106 10 4 10

SPT(16)	2774879770318194937	0 10 46 102 124 136 144 214 222 292 300 312 334 390 426 436	-1520366522224
TPT(14)	2774880092177813687	0 2 12 14 72 74 240 242 270 272 324 326 354 356	-1198506903474
STPT(10)	2774880269872589507	0 2 30 32 72 74 114 116 144 146	-1020812127654
SPT(16)	2774880721030107707	0 2 12 36 56 80 84 86 90 92 96 120 140 164 174 176	-569654609454
SPT(16)	2774880818066017883	0 48 56 80 134 138 176 224 300 348 386 390 444 468 476 524	-472618699278
STPT(12)	2774881025692524107	0 2 30 32 60 62 72 74 102 104 132 134	-264992193054
SPT(16)	2774881784241834031	0 6 10 18 90 102 108 112 216 220 226 238 310 318 322 328	493557116870
SPT(16)	2774881850550800531	0 6 66 78 92 98 116 120 128 132 150 156 170 182 242 248	559866083370
STPT(10)	2774882042918283581	0 2 6 8 48 50 90 92 96 98	752233566420
SPT(16)	2774882087139915391	0 6 22 46 60 106 126 150 172 196 216 262 276 300 316 322	796455198230
STPT(10)	2774882125166108957	0 2 24 26 42 44 60 62 84 86	834481391796