Prime p₀= 2814228871560865019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 10 2 58 2 10 2 (?)
a_n: 0 2 18 20 42 44 48 50 60 62 120 122 132 134
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: 134
Found by: JayPi
db: batch=82, k=14, 16 22 4 10 58 10

SPT(16)	2814228348377879309	0 78 104 120 122 132 134 192 200 258 260 270 272 288 314 392	-523182985710
SPT(16)	2814228532833557461	0 6 30 42 72 76 100 142 156 198 222 226 256 268 292 298	-338727307558
STPT(10)	2814228625276619561	0 2 6 8 48 50 90 92 96 98	-246284245458
SPT(16)	2814228756750538693	0 88 108 118 126 144 150 196 198 244 250 268 276 286 306 394	-114810326326
STPT(10)	2814228820126972319	0 2 42 44 120 122 198 200 240 242	-51433892700
STPT(10)	2814228847594912511	0 2 30 32 78 80 126 128 156 158	-23965952508
STPT(10)	2814228937714234067	0 2 30 32 42 44 54 56 84 86	66153369048
SPT(16)	2814229219698089227	0 12 24 60 82 84 102 166 270 334 352 354 376 412 424 436	348137224208
STPT(10)	2814229498513699961	0 2 30 32 60 62 90 92 120 122	626952834942
TPT(14)	2814229706256496049	0 2 12 14 42 44 90 92 132 134 198 200 210 212	834695631030
STPT(10)	2814230206080610307	0 2 12 14 72 74 132 134 144 146	1334519745288