Prime p₀= 1048994179806681551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 64 2 10 2 58 2 28 2 10 2 (?)
a_n: 0 2 120 122 186 188 198 200 258 260 288 290 300 302
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: 302
Found by: stoneageman
db: batch=76, k=14, 118 64 10 58 28 10

SPT(16)	1048993472228150747	0 12 50 72 114 134 140 152 162 174 180 200 242 264 302 314	-707578530804
SPT(16)	1048993573471411349	0 18 60 68 104 108 110 132 200 222 224 228 264 272 314 332	-606335270202
SPT(16)	1048993680537819481	0 6 22 58 72 76 78 100 168 190 192 196 210 246 262 268	-499268862070
STPT(10)	1048993682789356391	0 2 6 8 48 50 90 92 96 98	-497017325160
SPT(16)	1048993761419574959	0 14 32 42 60 104 120 128 174 182 198 242 260 270 288 302	-418387106592
STPT(10)	1048994034378268841	0 2 36 38 78 80 120 122 156 158	-145428412710
SPT(16)	1048994272260846151	0 6 16 22 70 76 106 108 160 162 192 198 246 252 262 268	92454164600
STPT(10)	1048994327169310187	0 2 30 32 42 44 54 56 84 86	147362628636
TPT(14)	1048994533837132679	0 2 12 14 102 104 192 194 210 212 222 224 240 242	354030451128
SPT(16)	1048994641171404643	0 6 16 28 46 66 88 108 136 156 178 198 216 228 238 244	461364723092
SPT(16)	1048994909250869299	0 24 28 88 102 120 154 160 162 168 202 220 234 294 298 322	729444187748