Prime p₀= 1014101633514924011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 52 2 34 2 40 2 196 2 (?)
a_n: 0 2 30 32 156 158 210 212 246 248 288 290 486 488
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: 488
Found by: Theadalus
db: batch=76, k=14, 28 124 52 34 40 196

SPT(16)	1014101084272515359	0 14 24 42 72 80 98 138 194 234 252 260 290 308 318 332	-549242408652
STPT(10)	1014101109075331601	0 2 36 38 78 80 120 122 156 158	-524439592410
SPT(16)	1014101292460310177	0 6 56 62 104 126 140 170 216 246 260 282 324 330 380 386	-341054613834
TPT(14)	1014101422930874609	0 2 42 44 78 80 168 170 282 284 288 290 312 314	-210584049402
STPT(10)	1014101537180174699	0 2 12 14 90 92 168 170 180 182	-96334749312
STPT(10)	1014101604767840591	0 2 30 32 60 62 90 92 120 122	-28747083420
SPT(16)	1014101734181668861	0 72 78 108 120 148 192 208 222 238 282 310 322 352 358 430	100666744850
STPT(10)	1014101850029025029	0 2 18 20 30 32 42 44 60 62	216514101018
STPT(10)	1014102288733591997	0 2 30 32 60 62 90 92 120 122	655218667986
TPT(14)	1014103213402748699	0 2 18 20 42 44 168 170 192 194 222 224 270 272	1579887824688
SPT(16)	1014103261561856311	0 48 126 156 186 196 198 208 228 238 240 250 280 310 388 436	1628046932300