Prime p₀= 1950377680458158597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 226 2 10 2 28 2 40 2 16 2 (?)
a_n: 0 2 42 44 270 272 282 284 312 314 354 356 372 374
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: 374
Found by: Orange Kid
db: batch=80, k=14, 40 226 10 28 40 16

STPT(10)	1950376439366964137	0 2 12 14 42 44 72 74 84 86	-1241091194460
SPT(16)	1950376610241263597	0 44 50 84 116 152 186 222 284 320 354 390 422 456 462 506	-1070216895000
STPT(10)	1950376743118881071	0 2 36 38 78 80 120 122 156 158	-937339277526
TPT(14)	1950376932334573031	0 2 18 20 90 92 156 158 186 188 210 212 240 242	-748123585566
SPT(16)	1950377076013859371	0 46 102 106 120 132 162 190 222 250 280 292 306 310 366 412	-604444299226
STPT(10)	1950377583001998737	0 2 30 32 72 74 114 116 144 146	-97456159860
SPT(16)	1950377729646186391	0 6 36 70 78 126 132 150 298 316 322 370 378 412 442 448	49188027794
SPT(16)	1950377732689136917	0 4 22 40 60 64 82 84 130 132 150 154 174 192 210 214	52230978320
STPT(10)	1950378579201075167	0 2 42 44 72 74 102 104 144 146	898742916570
STPT(10)	1950379163536033169	0 2 18 20 30 32 42 44 60 62	1483077874572
SPT(16)	1950379686275772779	0 42 54 62 68 114 132 198 254 320 338 384 390 398 410 452	2005817614182