Prime p₀= 1516600505922979049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 46 2 70 2 28 2 (?)
a_n: 0 2 18 20 42 44 60 62 108 110 180 182 210 212
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: 212
Found by: xii5ku
db: batch=78, k=14, 16 22 16 46 70 28

STPT(10)	1516599776218216367	0 2 30 32 42 44 54 56 84 86	-729704762682
SPT(16)	1516599916174959271	0 36 66 90 106 112 120 132 166 178 186 192 208 232 262 298	-589748019778
TPT(14)	1516600005416557739	0 2 12 14 30 32 72 74 108 110 192 194 210 212	-500506421310
SPT(16)	1516600023399286649	0 24 32 80 84 110 140 150 152 162 192 218 222 270 278 302	-482523692400
SPT(16)	1516600041896532331	0 22 46 70 96 100 102 120 148 166 168 172 198 222 246 268	-464026446718
STPT(10)	1516600217574424427	0 2 30 32 42 44 54 56 84 86	-288348554622
SPT(16)	1516600528791712823	0 8 18 78 86 90 114 156 158 200 224 228 236 296 306 314	22868733774
TPT(16)	1516600672227164201	0 2 18 20 66 68 108 110 150 152 168 170 210 212 270 272	166304185152
STPT(12)	1516600704582896939	0 2 12 14 42 44 180 182 210 212 222 224	198659917890
SPT(16)	1516600728434006759	0 12 20 62 68 98 102 108 134 140 144 174 180 222 230 242	222511027710
SPT(16)	1516600979464066439	0 48 60 62 84 108 140 164 258 282 314 338 360 362 374 422	473541087390