Prime p₀= 1516600005416557739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 34 2 82 2 16 2 (?)
a_n: 0 2 12 14 30 32 72 74 108 110 192 194 210 212
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, 10 16 40 34 82 16

SPT(16)	1516598676500888303	0 36 50 66 86 170 198 200 204 206 234 318 338 354 368 404	-1328915669436
STPT(10)	1516599333873342767	0 2 42 44 72 74 102 104 144 146	-671543214972
STPT(10)	1516599488782655867	0 2 72 74 102 104 132 134 204 206	-516633901872
SPT(16)	1516599536297340709	0 34 64 84 102 132 154 240 244 330 352 382 400 420 450 484	-469119217030
STPT(10)	1516599776218216367	0 2 30 32 42 44 54 56 84 86	-229198341372
SPT(16)	1516599916174959271	0 36 66 90 106 112 120 132 166 178 186 192 208 232 262 298	-89241598468
SPT(16)	1516600023399286649	0 24 32 80 84 110 140 150 152 162 192 218 222 270 278 302	17982728910
SPT(16)	1516600041896532331	0 22 46 70 96 100 102 120 148 166 168 172 198 222 246 268	36479974592
STPT(10)	1516600217574424427	0 2 30 32 42 44 54 56 84 86	212157866688
TPT(14)	1516600505922979049	0 2 18 20 42 44 60 62 108 110 180 182 210 212	500506421310
SPT(16)	1516600528791712823	0 8 18 78 86 90 114 156 158 200 224 228 236 296 306 314	523375155084