Prime p₀= 2014304666340684407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: vaughan
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2014303868737669097	0 2 30 32 42 44 54 56 84 86	-797603015310
SPT(16)	2014303937000670641	0 2 8 50 56 128 162 198 200 236 270 342 348 390 396 398	-729340013766
STPT(10)	2014303940185772531	0 2 6 8 18 20 30 32 36 38	-726154911876
SPT(16)	2014304014544752907	0 26 56 60 74 104 132 174 182 224 252 282 296 300 330 356	-651795931500
SPT(16)	2014304308563236513	0 14 18 74 134 146 158 204 500 546 558 570 630 686 690 704	-357777447894
STPT(10)	2014304550970326887	0 2 30 32 42 44 54 56 84 86	-115370357520
SPT(16)	2014304809210221937	0 6 16 24 30 52 96 132 184 220 264 286 292 300 310 316	142869537530
SPT(16)	2014304910638500009	0 12 34 40 52 54 78 90 112 124 148 150 162 168 190 202	244297815602
TPT(14)	2014305091452472151	0 2 48 50 60 62 90 92 156 158 186 188 216 218	425111787744
STPT(10)	2014305406655651531	0 2 36 38 78 80 120 122 156 158	740314967124
STPT(10)	2014305635071992089	0 2 42 44 60 62 78 80 120 122	968731307682