Prime p₀= 2064820171532143589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 28 2 34 2 40 2 (?)
a_n: 0 2 12 14 18 20 102 104 132 134 168 170 210 212
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: 212
Found by: JonS
db: batch=80, k=14, 10 4 82 28 34 40

SPT(16)	2064818071783054771	0 10 18 30 42 58 88 108 172 192 222 238 250 262 270 280	-2099749088818
TPT(14)	2064818352577682417	0 2 42 44 60 62 174 176 210 212 282 284 372 374	-1818954461172
SPT(16)	2064818784929601709	0 22 30 54 108 112 130 142 150 162 180 184 238 262 270 292	-1386602541880
STPT(10)	2064818878831309421	0 2 6 8 18 20 30 32 36 38	-1292700834168
STPT(10)	2064819397319260199	0 2 48 50 60 62 72 74 120 122	-774212883390
SPT(18)	2064819671983540739	0 12 42 50 54 78 152 164 170 192 198 210 284 308 312 320 350 362	-499548602850
TPT(14)	2064820407321574349	0 2 18 20 30 32 102 104 150 152 192 194 348 350	235789430760
TPT(14)	2064820642766802857	0 2 30 32 54 56 60 62 102 104 144 146 210 212	471234659268
SPT(16)	2064820793332973311	0 10 12 16 30 76 100 126 166 192 216 262 276 280 282 292	621800829722
SPT(16)	2064821246229685589	0 8 20 60 74 98 104 144 158 198 204 228 242 282 294 302	1074697542000
SPT(16)	2064821590452919219	0 34 70 84 94 102 130 132 172 174 202 210 220 234 270 304	1418920775630