Prime p₀= 2097414867704743997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 16 2 10 2 28 2 4 2 (?)
a_n: 0 2 12 14 114 116 132 134 144 146 174 176 180 182
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: 182
Found by: [SG-FC] hl
db: batch=80, k=14, 10 100 16 10 28 4

SPT(16)	2097413957974268849	0 32 110 132 152 174 252 264 368 380 458 480 500 522 600 632	-909730475148
STPT(10)	2097414032968597097	0 2 42 44 72 74 102 104 144 146	-834736146900
SPT(16)	2097414117570457451	0 20 30 50 56 86 90 96 122 128 132 162 168 188 198 218	-750134286546
SPT(16)	2097414117734064071	0 8 42 50 66 116 126 140 288 302 312 362 378 386 420 428	-749970679926
SPT(16)	2097414656020744861	0 30 52 78 108 150 192 198 202 208 250 292 322 348 370 400	-211683999136
STPT(10)	2097414855949514597	0 2 12 14 42 44 72 74 84 86	-11755229400
TPT(14)	2097415004404413359	0 2 42 44 108 110 180 182 210 212 222 224 252 254	136699669362
STPT(10)	2097415158604769711	0 2 36 38 78 80 120 122 156 158	290900025714
SPT(16)	2097415568208079859	0 18 50 54 62 78 108 120 122 134 164 180 188 192 224 242	700503335862
STPT(10)	2097416228693167979	0 2 42 44 60 62 78 80 120 122	1360988423982
SPT(16)	2097416865975881837	0 32 56 62 74 90 156 170 186 200 266 282 294 300 324 356	1998271137840