Prime p₀= 2441348158665961541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 136 2 10 2 10 2 94 2 (?)
a_n: 0 2 126 128 168 170 306 308 318 320 330 332 426 428
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: JayPi
db: batch=82, k=14, 124 40 136 10 10 94

SPT(16)	2441347224219311789	0 2 42 54 62 110 128 132 170 174 192 240 248 260 300 302	-934446649752
STPT(10)	2441347593615681209	0 2 18 20 30 32 42 44 60 62	-565050280332
SPT(16)	2441347673714509171	0 10 30 40 96 100 148 162 196 210 258 262 318 328 348 358	-484951452370
SPT(16)	2441347828336739447	0 14 20 24 30 74 90 110 144 164 180 224 230 234 240 254	-330329222094
STPT(10)	2441347958110611761	0 2 30 32 78 80 126 128 156 158	-200555349780
STPT(10)	2441348126733619889	0 2 30 32 60 62 90 92 120 122	-31932341652
SPT(16)	2441348244280721791	0 30 36 42 70 72 100 130 162 192 220 222 250 256 262 292	85614760250
STPT(10)	2441348404572532991	0 2 6 8 48 50 90 92 96 98	245906571450
SPT(16)	2441348837167137229	0 10 12 48 112 118 180 190 210 220 282 288 352 388 390 400	678501175688
SPT(16)	2441349223984334887	0 10 12 34 70 82 90 100 126 136 144 156 192 214 216 226	1065318373346
STPT(10)	2441350110551370251	0 2 36 38 78 80 120 122 156 158	1951885408710