Prime p₀= 1944745952967548891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 28 2 58 2 22 2 4 2 (?)
a_n: 0 2 18 20 66 68 96 98 156 158 180 182 186 188
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: 188
Found by: JonS
db: batch=80, k=14, 16 46 28 58 22 4

SPT(16)	1944744636852248347	0 12 54 64 84 90 130 186 190 246 286 292 312 322 364 376	-1316115300544
STPT(10)	1944744964866894917	0 2 24 26 42 44 60 62 84 86	-988100653974
SPT(16)	1944745119242208917	0 20 72 104 132 134 140 236 240 336 342 344 372 404 456 476	-833725339974
TPT(14)	1944745507037052611	0 2 78 80 108 110 126 128 180 182 258 260 300 302	-445930496280
SPT(16)	1944745570124048053	0 4 10 36 46 88 94 126 148 180 186 228 238 264 270 274	-382843500838
SPT(16)	1944745751677027283	0 14 36 66 84 96 98 134 150 186 188 200 218 248 270 284	-201290521608
STPT(10)	1944745968035426111	0 2 6 8 48 50 90 92 96 98	15067877220
SPT(16)	1944746059456995713	0 6 18 20 36 48 50 78 86 114 116 128 144 146 158 164	106489446822
SPT(16)	1944746127429669701	0 2 8 20 60 90 98 102 128 132 140 170 210 222 228 230	174462120810
SPT(16)	1944747300986660959	0 10 12 22 48 78 94 174 208 288 304 334 360 370 372 382	1348019112068
SPT(16)	1944747470334732641	0 18 36 42 48 110 152 156 242 246 288 350 356 362 380 398	1517367183750