Prime p₀= 1319918278022790947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 58 2

STPT(10)	1319917052004922067	0 2 54 56 72 74 90 92 144 146	-1226017868880
SPT(16)	1319917195276941757	0 34 66 112 156 174 202 214 222 234 262 280 324 370 402 436	-1082745849190
SPT(16)	1319917429658310731	0 6 42 48 50 56 66 80 108 122 132 138 140 146 182 188	-848364480216
SPT(16)	1319917898419781723	0 80 90 96 140 164 206 216 248 258 300 324 368 374 384 464	-379603009224
SPT(16)	1319918179036620941	0 26 42 86 98 120 138 152 186 200 218 240 252 296 312 338	-98986170006
SPT(13)	1319918244388747667	0 30 42 60 66 72 126 180 186 192 210 222 252	-33634043280
STPT(10)	1319919210663241421	0 2 30 32 78 80 126 128 156 158	932640450474
SPT(16)	1319919217231439369	0 2 18 30 44 54 72 84 98 110 128 138 152 164 180 182	939208648422
SPT(16)	1319919309176905771	0 6 10 90 96 118 178 190 306 318 378 400 406 486 490 496	1031154114824
TPT(14)	1319919577740975257	0 2 90 92 102 104 114 116 180 182 210 212 252 254	1299718184310
STPT(10)	1319920408560382799	0 2 18 20 30 32 42 44 60 62	2130537591852