Prime p₀= 3035980139311724789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3035978505271604461	0 6 60 70 106 178 186 210 346 370 378 450 486 496 550 556	-1634040120328
STPT(10)	3035979150380092907	0 2 12 14 72 74 132 134 144 146	-988931631882
SPT(16)	3035979606677255159	0 42 84 104 122 140 150 152 162 164 174 192 210 230 272 314	-532634469630
STPT(10)	3035979731716928987	0 2 12 14 72 74 132 134 144 146	-407594795802
STPT(10)	3035979739539559331	0 2 36 38 78 80 120 122 156 158	-399772165458
STPT(10)	3035979765317238791	0 2 6 8 18 20 30 32 36 38	-373994485998
STPT(10)	3035980355584735421	0 2 36 38 78 80 120 122 156 158	216273010632
SPT(16)	3035981037089560529	0 50 54 98 132 138 168 194 198 224 254 260 294 338 342 392	897777835740
SPT(16)	3035981339813712677	0 14 24 50 102 116 122 132 134 144 150 164 216 242 252 266	1200501987888
SPT(16)	3035981402149970957	0 56 86 114 140 200 246 264 302 320 366 426 452 480 510 566	1262838246168
SPT(16)	3035981949427831501	0 28 96 160 192 196 208 238 360 390 402 406 438 502 570 598	1810116106712