Prime p₀= 2015415018630521369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 58 2 40 2 40 2 64 2 (?)
a_n: 0 2 12 14 108 110 168 170 210 212 252 254 318 320
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: 320
Found by: Chooka
db: batch=80, k=14, 10 94 58 40 40 64

SPT(16)	2015412556691514251	0 8 36 120 168 216 218 258 320 360 362 410 458 542 570 578	-2461939007118
STPT(10)	2015412572528405759	0 2 42 44 60 62 78 80 120 122	-2446102115610
SPT(16)	2015413048027916441	0 6 20 32 50 102 146 156 176 186 230 282 300 312 326 332	-1970602604928
STPT(10)	2015413289722794287	0 2 42 44 72 74 102 104 144 146	-1728907727082
SPT(16)	2015413768244236847	0 14 26 32 36 44 86 114 182 210 252 260 264 270 282 296	-1250386284522
SPT(16)	2015414199456694937	0 6 24 26 54 84 90 96 104 110 116 146 174 176 194 200	-819173826432
STPT(12)	2015415148976711849	0 2 12 14 42 44 48 50 78 80 90 92	130346190480
SPT(16)	2015415672964786201	0 6 22 28 72 156 168 180 358 370 382 466 510 516 532 538	654334264832
STPT(10)	2015415682585411019	0 2 12 14 90 92 168 170 180 182	663954889650
STPT(10)	2015416149633386567	0 2 60 62 72 74 84 86 144 146	1131002865198
SPT(16)	2015417106523801219	0 4 10 28 40 54 88 142 150 204 238 252 264 282 288 292	2087893279850