Prime p₀= 2326839653243189969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 10 2 88 2 34 2 10 2 (?)
a_n: 0 2 42 44 150 152 162 164 252 254 288 290 300 302
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: 302
Found by: MarkRBright
db: batch=81, k=14, 40 106 10 88 34 10

SPT(16)	2326838622182685397	0 12 42 70 94 100 114 132 184 202 216 222 246 274 304 316	-1031060504572
SPT(16)	2326838725938366247	0 12 34 40 46 66 82 112 114 144 160 180 186 192 214 226	-927304823722
STPT(10)	2326838793401740757	0 2 12 14 42 44 72 74 84 86	-859841449212
SPT(16)	2326839008357515451	0 48 56 86 90 156 198 200 216 218 260 326 330 360 368 416	-644885674518
SPT(16)	2326839202128732947	0 14 24 50 62 66 122 126 140 144 200 204 216 242 252 266	-451114457022
TPT(14)	2326839258725961209	0 2 18 20 72 74 102 104 138 140 192 194 240 242	-394517228760
STPT(10)	2326839856265356811	0 2 36 38 78 80 120 122 156 158	203022166842
STPT(10)	2326840055394296987	0 2 30 32 42 44 54 56 84 86	402151107018
SPT(16)	2326840482256894711	0 18 28 42 60 108 112 118 120 126 130 178 196 210 220 238	829013704742
STPT(10)	2326840672815361511	0 2 6 8 48 50 90 92 96 98	1019572171542
SPT(16)	2326840733127176003	0 24 108 126 174 176 206 218 246 258 288 290 338 356 440 464	1079883986034