Prime p₀= 1868723708501475611 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 28 2 4 2 40 2 40 2 4 2 28 2 (?)
a_n: 0 2 30 32 36 38 78 80 120 122 126 128 156 158
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: 158
Found by: Euphoriabuzz
db: batch=79, k=14, 2 28 2 4 2 40 2

STPT(10)	1868722803311366657	0 2 30 32 72 74 114 116 144 146	-905190108954
STPT(10)	1868723010657391001	0 2 36 38 78 80 120 122 156 158	-697844084610
STPT(10)	1868723046661440647	0 2 30 32 42 44 54 56 84 86	-661840034964
STPT(10)	1868723133196128899	0 2 18 20 30 32 42 44 60 62	-575305346712
SPT(16)	1868723291861178307	0 22 46 52 66 84 112 156 190 234 262 280 294 300 324 346	-416640297304
STPT(10)	1868723305148070989	0 2 48 50 60 62 72 74 120 122	-403353404622
TPT(14)	1868723708501475611	0 2 30 32 36 38 78 80 120 122 126 128 156 158	0
SPT(16)	1868723905887141349	0 40 70 88 90 114 138 144 154 160 184 208 210 228 258 298	197385665738
STPT(10)	1868723979529215839	0 2 18 20 30 32 42 44 60 62	271027740228
SPT(16)	1868724690099471133	0 10 34 54 66 124 144 150 160 166 186 244 256 276 300 310	981597995522
SPT(16)	1868724722124023879	0 24 62 78 92 104 108 188 294 374 378 390 404 420 458 482	1013622548268