Prime p₀= 741301732324468421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 70 2 28 2 28 2 40 2 (?)
a_n: 0 2 30 32 36 38 108 110 138 140 168 170 210 212
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: Theadalus
db: batch=73, k=14, 28 4 70 28 28 40

SPT(16)	741301068221714321	0 48 72 80 98 122 138 180 200 242 258 282 300 308 332 380	-664102754100
SPT(16)	741301167358776421	0 12 22 52 60 70 78 126 172 220 228 238 246 276 286 298	-564965692000
SPT(16)	741301255015854601	0 12 46 52 102 132 178 186 202 210 256 286 336 342 376 388	-477308613820
STPT(10)	741301465163984339	0 2 18 20 30 32 42 44 60 62	-267160484082
STPT(12)	741301493293942907	0 2 30 32 72 74 102 104 144 146 174 176	-239030525514
STPT(10)	741301543732602371	0 2 30 32 78 80 126 128 156 158	-188591866050
SPT(16)	741302089677647741	0 12 38 42 48 62 66 78 110 122 126 140 146 150 176 188	357353179320
SPT(16)	741302094554102173	0 24 54 58 78 124 144 156 178 190 210 256 276 280 310 334	362229633752
TPT(14)	741302301244053539	0 2 42 44 72 74 132 134 282 284 312 314 342 344	568919585118
STPT(10)	741302526016346381	0 2 6 8 48 50 90 92 96 98	793691877960
STPT(10)	741302684041709729	0 2 42 44 60 62 78 80 120 122	951717241308