Prime p₀= 2159728369631724761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 46 2 82 2 4 2 22 2 (?)
a_n: 0 2 18 20 78 80 126 128 210 212 216 218 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 16 58 46 82 4 22

STPT(10)	2159726328611028377	0 2 30 32 72 74 114 116 144 146	-2041020696384
SPT(16)	2159726489579976553	0 18 48 54 60 84 90 108 190 208 214 238 244 250 280 298	-1880051748208
STPT(10)	2159726847156632981	0 2 66 68 138 140 210 212 276 278	-1522475091780
STPT(10)	2159727696195886247	0 2 12 14 72 74 132 134 144 146	-673435838514
SPT(16)	2159728088382349759	0 42 70 82 112 148 198 222 238 262 312 348 378 390 418 460	-281249375002
STPT(10)	2159728196149617557	0 2 60 62 102 104 144 146 204 206	-173482107204
STPT(10)	2159728393152117839	0 2 18 20 30 32 42 44 60 62	23520393078
SPT(16)	2159728856368809577	0 36 96 112 120 126 154 186 190 222 250 256 264 280 340 376	486737084816
STPT(12)	2159729352784904009	0 2 18 20 42 44 48 50 72 74 90 92	983153179248
SPT(16)	2159729811328335401	0 12 60 80 140 150 152 168 182 198 200 210 270 290 338 350	1441696610640
STPT(10)	2159730548632814231	0 2 6 8 48 50 90 92 96 98	2179001089470