Prime p₀= 2880660178992738797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 16 2 10 2 64 2 10 2 (?)
a_n: 0 2 30 32 114 116 132 134 144 146 210 212 222 224
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: 224
Found by: Landjunge
db: batch=82, k=14, 28 82 16 10 64 10

SPT(16)	2880658769055147323	0 6 36 38 48 68 78 104 180 206 216 236 246 248 278 284	-1409937591474
STPT(10)	2880659214319075841	0 2 36 38 78 80 120 122 156 158	-964673662956
STPT(10)	2880659314953320009	0 2 48 50 90 92 132 134 180 182	-864039418788
SPT(13)	2880659543302507691	0 18 132 162 180 288 300 312 420 438 468 582 600	-635690231106
TPT(14)	2880659862374726909	0 2 72 74 78 80 138 140 168 170 180 182 222 224	-316618011888
SPT(16)	2880660122993748701	0 36 42 48 50 56 72 92 126 146 162 168 170 176 182 218	-55998990096
STPT(10)	2880660667920279911	0 2 6 8 18 20 30 32 36 38	488927541114
SPT(16)	2880661027539176963	0 14 68 74 90 104 110 134 180 204 210 224 240 246 300 314	848546438166
STPT(10)	2880662238697941749	0 2 18 20 30 32 42 44 60 62	2059705202952
SPT(16)	2880662985196135423	0 16 40 48 78 88 100 138 148 186 198 208 238 246 270 286	2806203396626
SPT(16)	2880663141173463169	0 24 30 90 102 112 144 154 198 208 240 250 262 322 328 352	2962180724372