Prime p₀= 2903061891534220181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 166 2 10 2 28 2 76 2 (?)
a_n: 0 2 78 80 138 140 306 308 318 320 348 350 426 428
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: 428
Found by: Landjunge
db: batch=82, k=14, 76 58 166 10 28 76

STPT(10)	2903060969275907129	0 2 18 20 30 32 42 44 60 62	-922258313052
TPT(14)	2903061056167830251	0 2 36 38 108 110 180 182 198 200 336 338 348 350	-835366389930
STPT(10)	2903061338339757347	0 2 30 32 42 44 54 56 84 86	-553194462834
SPT(16)	2903061507614242801	0 12 60 72 78 82 100 112 138 150 168 172 178 190 238 250	-383919977380
STPT(10)	2903061514646818529	0 2 12 14 90 92 168 170 180 182	-376887401652
SPT(16)	2903061769933914263	0 6 26 36 86 140 164 168 176 180 204 258 308 318 338 344	-121600305918
STPT(10)	2903062087990564361	0 2 36 38 78 80 120 122 156 158	196456344180
STPT(10)	2903062135208230859	0 2 42 44 90 92 138 140 180 182	243674010678
SPT(16)	2903062521270419993	0 18 30 44 78 84 114 116 168 170 200 206 240 254 266 284	629736199812
SPT(16)	2903062947437467279	0 22 78 108 148 150 168 178 192 202 220 222 262 292 348 370	1055903247098
SPT(16)	2903063358794154383	0 50 78 90 120 150 158 164 210 216 224 254 284 296 324 374	1467259934202