Prime p₀= 1540139986326808301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: crashtech
db: batch=78, k=10, 2 28 2 88 2

SPT(16)	1540138428912373579	0 24 28 48 60 90 94 108 130 144 148 178 190 210 214 238	-1557414434722
TPT(14)	1540138523961536201	0 2 6 8 66 68 96 98 126 128 150 152 180 182	-1462365272100
SPT(16)	1540138712156556613	0 24 40 54 90 118 234 280 288 334 450 478 514 528 544 568	-1274170251688
SPT(16)	1540139427458840947	0 30 34 40 70 90 216 286 294 364 490 510 540 546 550 580	-558867967354
STPT(10)	1540139472096938771	0 2 36 38 78 80 120 122 156 158	-514229869530
STPT(10)	1540139624071578581	0 2 6 8 18 20 30 32 36 38	-362255229720
SPT(16)	1540140466137698309	0 62 68 80 108 122 140 164 198 222 240 254 282 294 300 362	479810890008
SPT(16)	1540140763515273047	0 20 24 36 50 56 60 66 140 146 150 156 170 182 186 206	777188464746
STPT(10)	1540140869688989987	0 2 12 14 42 44 72 74 84 86	883362181686
SPT(16)	1540140925092534563	0 44 50 56 78 110 140 198 206 264 294 326 348 354 360 404	938765726262
SPT(16)	1540141022060807093	0 6 56 110 120 126 156 168 188 200 230 236 246 300 350 356	1035733998792