Prime p₀= 1151635437300682601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 52 2 64 2 28 2 10 2 (?)
a_n: 0 2 78 80 126 128 180 182 246 248 276 278 288 290
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: 290
Found by: biodoc
db: batch=77, k=14, 76 46 52 64 28 10

SPT(16)	1151633796469483087	0 34 54 102 106 124 172 186 280 294 342 360 364 412 432 466	-1640831199514
SPT(16)	1151633873924772109	0 40 72 84 100 102 124 190 222 288 310 312 328 340 372 412	-1563375910492
SPT(16)	1151634024366583327	0 10 22 72 82 100 150 232 240 322 372 390 400 450 462 472	-1412934099274
SPT(16)	1151634535697002031	0 6 20 26 38 72 96 98 120 122 146 180 192 198 212 218	-901603680570
STPT(12)	1151634683248770209	0 2 60 62 102 104 108 110 150 152 210 212	-754051912392
SPT(16)	1151635324282374697	0 24 84 94 100 142 160 244 282 366 384 426 432 442 502 526	-113018307904
STPT(10)	1151635447218765989	0 2 18 20 30 32 42 44 60 62	9918083388
SPT(16)	1151635580665657099	0 4 22 52 70 78 94 108 124 138 154 162 180 210 228 232	143364974498
STPT(12)	1151635630460096459	0 2 12 14 42 44 198 200 228 230 240 242	193159413858
STPT(10)	1151635703636312561	0 2 6 8 18 20 30 32 36 38	266335629960
STPT(10)	1151635704890327351	0 2 30 32 60 62 90 92 120 122	267589644750