Prime p₀= 1047509679336688721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 46 2 16 2 22 2 (?)
a_n: 0 2 18 20 30 32 60 62 108 110 126 128 150 152
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: 152
Found by: stoneageman
db: batch=76, k=14, 16 10 28 46 16 22

SPT(16)	1047508687332804173	0 8 14 78 86 98 114 116 138 140 156 168 176 240 246 254	-992003884548
STPT(10)	1047508791550066169	0 2 18 20 60 62 102 104 120 122	-887786622552
STPT(10)	1047508839094479329	0 2 78 80 120 122 162 164 240 242	-840242209392
STPT(10)	1047509178288396911	0 2 6 8 48 50 90 92 96 98	-501048291810
SPT(16)	1047509347317343847	0 14 26 66 72 110 132 146 150 164 186 224 230 270 282 296	-332019344874
SPT(16)	1047509487011091257	0 26 30 32 54 60 86 102 164 180 206 212 234 236 240 266	-192325597464
SPT(16)	1047509895875557879	0 102 112 118 120 142 144 172 300 328 330 352 354 360 370 472	216538869158
SPT(16)	1047510084468136717	0 102 112 120 130 162 172 322 354 504 514 546 556 564 574 676	405131447996
SPT(16)	1047510604643288347	0 6 16 24 30 60 84 90 130 136 160 190 196 204 214 220	925306599626
STPT(10)	1047510655676508209	0 2 18 20 30 32 42 44 60 62	976339819488
STPT(10)	1047510846594531461	0 2 6 8 18 20 30 32 36 38	1167257842740