Prime p₀= 2854578666657980069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 10 2 10 2 34 2 22 2 (?)
a_n: 0 2 12 14 108 110 120 122 132 134 168 170 192 194
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: 194
Found by: Rantanplan
db: batch=82, k=14, 10 94 10 10 34 22

SPT(16)	2854576253694631489	0 28 60 70 78 100 114 130 132 148 162 184 192 202 234 262	-2412963348580
SPT(16)	2854576457404423909	0 22 34 42 48 72 108 148 204 244 280 304 310 318 330 352	-2209253556160
STPT(10)	2854576673533824227	0 2 72 74 102 104 132 134 204 206	-1993124155842
STPT(10)	2854576964963511017	0 2 24 26 42 44 60 62 84 86	-1701694469052
STPT(10)	2854578208933986089	0 2 18 20 60 62 102 104 120 122	-457723993980
TPT(14)	2854578440462689487	0 2 30 32 54 56 222 224 294 296 462 464 534 536	-226195290582
SPT(16)	2854578960667719983	0 14 24 26 98 144 174 180 194 200 230 276 348 350 360 374	294009739914
STPT(10)	2854579254130910399	0 2 42 44 60 62 78 80 120 122	587472930330
SPT(16)	2854579303488516623	0 54 78 108 138 164 180 210 218 248 264 290 320 350 374 428	636830536554
SPT(16)	2854579313027813563	0 10 24 40 54 124 136 174 196 234 246 316 330 346 360 370	646369833494
SPT(16)	2854580221153220633	0 14 36 50 78 86 98 126 128 156 168 176 204 218 240 254	1554495240564