Prime p₀= 2097970966012084529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 10 2 118 2 76 2 148 2 (?)
a_n: 0 2 90 92 120 122 132 134 252 254 330 332 480 482
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: 482
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 88 28 10 118 76 148

SPT(16)	2097968140013975363	0 8 30 44 50 66 78 96 98 116 128 144 150 164 186 194	-2825998109166
SPT(16)	2097969329287148099	0 24 72 80 110 122 182 194 210 222 282 294 324 332 380 404	-1636724936430
SPT(16)	2097969416314384343	0 38 56 80 110 134 164 266 288 390 420 444 474 498 516 554	-1549697700186
STPT(10)	2097969431375604971	0 2 30 32 60 62 90 92 120 122	-1534636479558
STPT(10)	2097969551602498097	0 2 30 32 42 44 54 56 84 86	-1414409586432
STPT(10)	2097970842312248327	0 2 30 32 72 74 114 116 144 146	-123699836202
SPT(16)	2097971300385075889	0 12 22 28 64 78 88 90 112 114 124 138 174 180 190 202	334372991360
TPT(14)	2097971589148921259	0 2 48 50 72 74 132 134 210 212 222 224 312 314	623136836730
STPT(10)	2097971809664661941	0 2 6 8 48 50 90 92 96 98	843652577412
SPT(16)	2097971888238252643	0 40 94 96 108 154 156 166 168 178 180 226 238 240 294 334	922226168114
STPT(10)	2097972191704388009	0 2 48 50 90 92 132 134 180 182	1225692303480