Prime p₀= 1285985096247981119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 118 2 10 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 168 170 180 182 198 200
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: 200
Found by: Cruncher Pete
db: batch=77, k=14, 16 22 4 118 10 16

SPT(16)	1285984109418983057	0 30 62 90 114 156 206 222 224 240 290 332 356 384 416 446	-986828998062
SPT(16)	1285984413194644451	0 30 38 56 66 78 80 156 170 246 248 260 270 288 296 326	-683053336668
STPT(10)	1285984509464157857	0 2 54 56 72 74 90 92 144 146	-586783823262
TPT(14)	1285984581668500487	0 2 12 14 42 44 174 176 210 212 270 272 300 302	-514579480632
SPT(16)	1285984586117603479	0 30 52 112 118 130 148 210 262 324 342 354 360 420 442 472	-510130377640
STPT(10)	1285984774601576417	0 2 30 32 42 44 54 56 84 86	-321646404702
SPT(16)	1285985253044268017	0 20 42 86 96 120 132 156 236 260 272 296 306 350 372 392	156796286898
STPT(10)	1285985794470775817	0 2 42 44 72 74 102 104 144 146	698222794698
SPT(16)	1285986014857834943	0 14 104 116 134 158 168 170 174 176 186 210 228 240 330 344	918609853824
SPT(16)	1285986297499000529	0 20 42 48 54 78 92 120 122 150 164 188 194 200 222 242	1201251019410
TPT(14)	1285986363718962611	0 2 30 32 96 98 168 170 180 182 186 188 198 200	1267470981492