Prime p₀= 2178286700232092507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 64 2 22 2 46 2 10 2 (?)
a_n: 0 2 30 32 114 116 180 182 204 206 252 254 264 266
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: 266
Found by: [SG-FC] hl
db: batch=81, k=14, 28 82 64 22 46 10

SPT(16)	2178284660207938153	0 28 58 70 100 106 114 120 124 130 138 144 174 186 216 244	-2040024154354
STPT(10)	2178284667113022329	0 2 78 80 120 122 162 164 240 242	-2033119070178
SPT(16)	2178285167310777373	0 6 10 30 34 70 120 148 156 184 234 270 274 294 298 304	-1532921315134
STPT(10)	2178285304796625707	0 2 42 44 72 74 102 104 144 146	-1395435466800
SPT(16)	2178286386793984151	0 6 12 60 110 116 126 192 230 296 306 312 362 410 416 422	-313438108356
STPT(12)	2178286512842220089	0 2 12 14 72 74 78 80 138 140 150 152	-187389872418
STPT(10)	2178286851528383801	0 2 6 8 18 20 30 32 36 38	151296291294
STPT(10)	2178287075377243811	0 2 36 38 78 80 120 122 156 158	375145151304
SPT(16)	2178287611187879537	0 14 36 42 84 104 162 192 194 224 282 302 344 350 372 386	910955787030
SPT(16)	2178287663903875889	0 8 30 84 98 114 144 164 288 308 338 354 368 422 444 452	963671783382
TPT(14)	2178287853432616127	0 2 42 44 54 56 102 104 114 116 144 146 180 182	1153200523620