Prime p₀= 2202435021093910661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 76 2 76 2 10 2 28 2 10 2 (?)
a_n: 0 2 90 92 168 170 246 248 258 260 288 290 300 302
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: Penguin
db: batch=81, k=14, 88 76 76 10 28 10

SPT(16)	2202433840350668999	0 18 32 120 188 204 240 242 270 272 308 324 392 480 494 512	-1180743241662
STPT(10)	2202434496729665459	0 2 18 20 30 32 42 44 60 62	-524364245202
SPT(16)	2202434497001962789	0 10 12 30 34 54 90 144 250 304 340 360 364 382 384 394	-524091947872
TPT(14)	2202434614514294261	0 2 36 38 78 80 96 98 126 128 180 182 246 248	-406579616400
SPT(16)	2202434959244679521	0 6 18 60 102 126 138 152 216 230 242 266 308 350 362 368	-61849231140
SPT(16)	2202434967350529643	0 54 58 70 84 90 114 120 124 130 154 160 174 186 190 244	-53743381018
TPT(14)	2202435282473187581	0 2 30 32 96 98 108 110 138 140 180 182 240 242	261379276920
STPT(10)	2202435533676601997	0 2 54 56 72 74 90 92 144 146	512582691336
STPT(10)	2202435667841108471	0 2 36 38 78 80 120 122 156 158	646747197810
SPT(16)	2202435764264583871	0 6 28 30 66 78 100 132 136 168 190 202 238 240 262 268	743170673210
TPT(14)	2202435920712718127	0 2 54 56 84 86 90 92 132 134 180 182 204 206	899618807466