Prime p₀= 2378171708336965787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 46 2 40 2 28 2 16 2 (?)
a_n: 0 2 24 26 114 116 162 164 204 206 234 236 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 22 88 46 40 28 16

STPT(10)	2378170720163380691	0 2 6 8 48 50 90 92 96 98	-988173585096
STPT(10)	2378170907682542639	0 2 42 44 60 62 78 80 120 122	-800654423148
SPT(16)	2378171059473006877	0 36 66 76 112 150 162 190 282 310 322 360 396 406 436 472	-648863958910
STPT(12)	2378171158000668047	0 2 90 92 120 122 132 134 162 164 252 254	-550336297740
SPT(16)	2378171550631117069	0 10 30 48 52 58 72 78 112 118 132 138 142 160 180 190	-157705848718
SPT(16)	2378171695310096729	0 14 18 42 50 60 110 120 182 192 242 252 260 284 288 302	-13026869058
SPT(16)	2378171839958552999	0 12 44 72 102 140 174 230 294 350 384 422 452 480 512 524	131621587212
SPT(16)	2378171907746119943	0 38 44 56 78 84 108 126 128 146 170 176 198 210 216 254	199409154156
SPT(16)	2378171981864763989	0 14 20 50 72 84 90 120 212 242 248 260 282 312 318 332	273527798202
STPT(12)	2378172250312700657	0 2 12 14 30 32 72 74 90 92 102 104	541975734870
SPT(20)	2378172320923123429	0 12 22 28 48 94 150 160 174 222 370 418 432 442 498 544 564 570 580 592	612586157642