Prime p₀= 1144211216561396981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 18 20 48 50 60 62 126 128 138 140 156 158
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: 158
Found by: Theadalus
db: batch=76, k=14, 16 28 10 64 10 16

STPT(10)	1144209493988516741	0 2 30 32 78 80 126 128 156 158	-1722572880240
STPT(10)	1144209974537616977	0 2 12 14 72 74 132 134 144 146	-1242023780004
SPT(16)	1144210074234054253	0 4 28 118 138 144 184 196 228 240 280 286 306 396 420 424	-1142327342728
SPT(16)	1144210117577901553	0 6 34 54 58 64 70 90 154 174 180 186 190 210 238 244	-1098983495428
STPT(10)	1144210465823328599	0 2 48 50 90 92 132 134 180 182	-750738068382
SPT(16)	1144210881666602261	0 50 66 102 122 140 180 218 270 308 348 366 386 422 438 488	-334894794720
TPT(14)	1144211344160135387	0 2 42 44 90 92 162 164 180 182 204 206 210 212	127598738406
TPT(14)	1144211399621961719	0 2 42 44 168 170 180 182 222 224 318 320 450 452	183060564738
SPT(16)	1144211644150409119	0 10 18 60 70 82 108 112 150 154 180 192 202 244 252 262	427589012138
SPT(16)	1144212333869785513	0 6 40 90 120 160 166 186 190 210 216 256 286 336 370 376	1117308388532
SPT(16)	1144212477786687889	0 28 54 72 90 130 142 172 180 210 222 262 280 298 324 352	1261225290908